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Finding the Fourth Proportional to 126,411.40, 189,617.10 and 71,000.20

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Solution

The fourth proportional to 126,411.40, 189,617.10 and 71,000.20 is: 106,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,411.40 : 189,617.10 = 71,000.20 : x
  2. Step 2: Convert to fraction form
    126,411.40/189,617.10 = 71,000.20/x
  3. Step 3: Cross multiply
    126,411.40x = 189,617.10 × 71,000.20
  4. Step 4: Simplify right side
    126,411.40x = 13,462,852,023.42
  5. Step 5: Solve for x
    x = 13,462,852,023.42/126,411.40
  6. Step 6: Final answer
    x = 106,500.30

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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.