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Finding the Fourth Proportional to 120,781.10, 180,358.30 and 98,638.40

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Solution

The fourth proportional to 120,781.10, 180,358.30 and 98,638.40 is: 147,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781.10 : 180,358.30 = 98,638.40 : x
  2. Step 2: Convert to fraction form
    120,781.10/180,358.30 = 98,638.40/x
  3. Step 3: Cross multiply
    120,781.10x = 180,358.30 × 98,638.40
  4. Step 4: Simplify right side
    120,781.10x = 17,790,253,892.12
  5. Step 5: Solve for x
    x = 17,790,253,892.12/120,781.10
  6. Step 6: Final answer
    x = 147,293.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.