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Finding the Fourth Proportional to 224,110.31, 309,272.21 and 123,508.31

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Solution

The fourth proportional to 224,110.31, 309,272.21 and 123,508.31 is: 170,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,110.31 : 309,272.21 = 123,508.31 : x
  2. Step 2: Convert to fraction form
    224,110.31/309,272.21 = 123,508.31/x
  3. Step 3: Cross multiply
    224,110.31x = 309,272.21 × 123,508.31
  4. Step 4: Simplify right side
    224,110.31x = 38,197,687,987.07
  5. Step 5: Solve for x
    x = 38,197,687,987.07/224,110.31
  6. Step 6: Final answer
    x = 170,441.46

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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.