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Finding the Fourth Proportional to 284,117.52, 392,081.38 and 156,792.20

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Solution

The fourth proportional to 284,117.52, 392,081.38 and 156,792.20 is: 216,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,117.52 : 392,081.38 = 156,792.20 : x
  2. Step 2: Convert to fraction form
    284,117.52/392,081.38 = 156,792.20/x
  3. Step 3: Cross multiply
    284,117.52x = 392,081.38 × 156,792.20
  4. Step 4: Simplify right side
    284,117.52x = 61,475,302,737.46
  5. Step 5: Solve for x
    x = 61,475,302,737.46/284,117.52
  6. Step 6: Final answer
    x = 216,372.80

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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.