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Finding the Fourth Proportional to 224,006.49, 309,128.85 and 123,404.49

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Solution

The fourth proportional to 224,006.49, 309,128.85 and 123,404.49 is: 170,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,006.49 : 309,128.85 = 123,404.49 : x
  2. Step 2: Convert to fraction form
    224,006.49/309,128.85 = 123,404.49/x
  3. Step 3: Cross multiply
    224,006.49x = 309,128.85 × 123,404.49
  4. Step 4: Simplify right side
    224,006.49x = 38,147,888,078.54
  5. Step 5: Solve for x
    x = 38,147,888,078.54/224,006.49
  6. Step 6: Final answer
    x = 170,298.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.