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Finding the Fourth Proportional to 229,748, 317,049.12 and 129,146.24

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Solution

The fourth proportional to 229,748, 317,049.12 and 129,146.24 is: 178,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,748 : 317,049.12 = 129,146.24 : x
  2. Step 2: Convert to fraction form
    229,748/317,049.12 = 129,146.24/x
  3. Step 3: Cross multiply
    229,748x = 317,049.12 × 129,146.24
  4. Step 4: Simplify right side
    229,748x = 40,945,701,743.31
  5. Step 5: Solve for x
    x = 40,945,701,743.31/229,748
  6. Step 6: Final answer
    x = 178,220.06

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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.