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Finding the Fourth Proportional to 224,044, 309,181.68 and 123,439.84

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Solution

The fourth proportional to 224,044, 309,181.68 and 123,439.84 is: 170,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,044 : 309,181.68 = 123,439.84 : x
  2. Step 2: Convert to fraction form
    224,044/309,181.68 = 123,439.84/x
  3. Step 3: Cross multiply
    224,044x = 309,181.68 × 123,439.84
  4. Step 4: Simplify right side
    224,044x = 38,165,337,110.13
  5. Step 5: Solve for x
    x = 38,165,337,110.13/224,044
  6. Step 6: Final answer
    x = 170,347.51

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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.