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Finding the Fourth Proportional to 138,308.20, 207,462.30 and 85,820.20

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Solution

The fourth proportional to 138,308.20, 207,462.30 and 85,820.20 is: 128,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308.20 : 207,462.30 = 85,820.20 : x
  2. Step 2: Convert to fraction form
    138,308.20/207,462.30 = 85,820.20/x
  3. Step 3: Cross multiply
    138,308.20x = 207,462.30 × 85,820.20
  4. Step 4: Simplify right side
    138,308.20x = 17,804,456,078.46
  5. Step 5: Solve for x
    x = 17,804,456,078.46/138,308.20
  6. Step 6: Final answer
    x = 128,730.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.