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Finding the Fourth Proportional to 224,467.97, 309,818.97 and 129,030.12

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Solution

The fourth proportional to 224,467.97, 309,818.97 and 129,030.12 is: 178,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,467.97 : 309,818.97 = 129,030.12 : x
  2. Step 2: Convert to fraction form
    224,467.97/309,818.97 = 129,030.12/x
  3. Step 3: Cross multiply
    224,467.97x = 309,818.97 × 129,030.12
  4. Step 4: Simplify right side
    224,467.97x = 39,975,978,877.38
  5. Step 5: Solve for x
    x = 39,975,978,877.38/224,467.97
  6. Step 6: Final answer
    x = 178,092.13

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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.