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Finding the Fourth Proportional to 189,652,107.60, 284,690,737.80 and 146,711,674.80

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Solution

The fourth proportional to 189,652,107.60, 284,690,737.80 and 146,711,674.80 is: 220,231,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,652,107.60 : 284,690,737.80 = 146,711,674.80 : x
  2. Step 2: Convert to fraction form
    189,652,107.60/284,690,737.80 = 146,711,674.80/x
  3. Step 3: Cross multiply
    189,652,107.60x = 284,690,737.80 × 146,711,674.80
  4. Step 4: Simplify right side
    189,652,107.60x = 41,767,454,942,685,672
  5. Step 5: Solve for x
    x = 41,767,454,942,685,672/189,652,107.60
  6. Step 6: Final answer
    x = 220,231,957.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.