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Finding the Fourth Proportional to 180,691.17, 249,360.30 and 109,057.20

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Solution

The fourth proportional to 180,691.17, 249,360.30 and 109,057.20 is: 150,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,691.17 : 249,360.30 = 109,057.20 : x
  2. Step 2: Convert to fraction form
    180,691.17/249,360.30 = 109,057.20/x
  3. Step 3: Cross multiply
    180,691.17x = 249,360.30 × 109,057.20
  4. Step 4: Simplify right side
    180,691.17x = 27,194,536,109.16
  5. Step 5: Solve for x
    x = 27,194,536,109.16/180,691.17
  6. Step 6: Final answer
    x = 150,502.85

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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.