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Finding the Fourth Proportional to 224,085, 309,243.90 and 123,489.48

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Solution

The fourth proportional to 224,085, 309,243.90 and 123,489.48 is: 170,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,085 : 309,243.90 = 123,489.48 : x
  2. Step 2: Convert to fraction form
    224,085/309,243.90 = 123,489.48/x
  3. Step 3: Cross multiply
    224,085x = 309,243.90 × 123,489.48
  4. Step 4: Simplify right side
    224,085x = 38,188,368,404.17
  5. Step 5: Solve for x
    x = 38,188,368,404.17/224,085
  6. Step 6: Final answer
    x = 170,419.12

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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.