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Finding the Fourth Proportional to 189,853.18, 284,836.94 and 56,737.78

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Solution

The fourth proportional to 189,853.18, 284,836.94 and 56,737.78 is: 85,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,853.18 : 284,836.94 = 56,737.78 : x
  2. Step 2: Convert to fraction form
    189,853.18/284,836.94 = 56,737.78/x
  3. Step 3: Cross multiply
    189,853.18x = 284,836.94 × 56,737.78
  4. Step 4: Simplify right side
    189,853.18x = 16,161,015,637.59
  5. Step 5: Solve for x
    x = 16,161,015,637.59/189,853.18
  6. Step 6: Final answer
    x = 85,123.76

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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.