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Finding the Fourth Proportional to 284,882.61, 427,166.17 and 116,521.18

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Solution

The fourth proportional to 284,882.61, 427,166.17 and 116,521.18 is: 174,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,882.61 : 427,166.17 = 116,521.18 : x
  2. Step 2: Convert to fraction form
    284,882.61/427,166.17 = 116,521.18/x
  3. Step 3: Cross multiply
    284,882.61x = 427,166.17 × 116,521.18
  4. Step 4: Simplify right side
    284,882.61x = 49,773,904,688.77
  5. Step 5: Solve for x
    x = 49,773,904,688.77/284,882.61
  6. Step 6: Final answer
    x = 174,717.25

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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.