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Finding the Fourth Proportional to 205,915.50, 284,168.19 and 115,269.18

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Solution

The fourth proportional to 205,915.50, 284,168.19 and 115,269.18 is: 159,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,915.50 : 284,168.19 = 115,269.18 : x
  2. Step 2: Convert to fraction form
    205,915.50/284,168.19 = 115,269.18/x
  3. Step 3: Cross multiply
    205,915.50x = 284,168.19 × 115,269.18
  4. Step 4: Simplify right side
    205,915.50x = 32,755,834,243.38
  5. Step 5: Solve for x
    x = 32,755,834,243.38/205,915.50
  6. Step 6: Final answer
    x = 159,074.16

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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.