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Finding the Fourth Proportional to 284,165.55, 392,151.71 and 156,841.25

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Solution

The fourth proportional to 284,165.55, 392,151.71 and 156,841.25 is: 216,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,165.55 : 392,151.71 = 156,841.25 : x
  2. Step 2: Convert to fraction form
    284,165.55/392,151.71 = 156,841.25/x
  3. Step 3: Cross multiply
    284,165.55x = 392,151.71 × 156,841.25
  4. Step 4: Simplify right side
    284,165.55x = 61,505,562,817.38
  5. Step 5: Solve for x
    x = 61,505,562,817.38/284,165.55
  6. Step 6: Final answer
    x = 216,442.71

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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.