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Finding the Fourth Proportional to 284,661.92, 392,833.52 and 157,337.52

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Solution

The fourth proportional to 284,661.92, 392,833.52 and 157,337.52 is: 217,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,661.92 : 392,833.52 = 157,337.52 : x
  2. Step 2: Convert to fraction form
    284,661.92/392,833.52 = 157,337.52/x
  3. Step 3: Cross multiply
    284,661.92x = 392,833.52 × 157,337.52
  4. Step 4: Simplify right side
    284,661.92x = 61,807,451,809.67
  5. Step 5: Solve for x
    x = 61,807,451,809.67/284,661.92
  6. Step 6: Final answer
    x = 217,125.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.