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Finding the Fourth Proportional to 189,710.10, 284,528.70 and 56,594.70

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Solution

The fourth proportional to 189,710.10, 284,528.70 and 56,594.70 is: 84,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,710.10 : 284,528.70 = 56,594.70 : x
  2. Step 2: Convert to fraction form
    189,710.10/284,528.70 = 56,594.70/x
  3. Step 3: Cross multiply
    189,710.10x = 284,528.70 × 56,594.70
  4. Step 4: Simplify right side
    189,710.10x = 16,102,816,417.89
  5. Step 5: Solve for x
    x = 16,102,816,417.89/189,710.10
  6. Step 6: Final answer
    x = 84,881.18

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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.