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Finding the Fourth Proportional to 142,765.30, 213,687.15 and 131,706.10

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Solution

The fourth proportional to 142,765.30, 213,687.15 and 131,706.10 is: 197,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.30 : 213,687.15 = 131,706.10 : x
  2. Step 2: Convert to fraction form
    142,765.30/213,687.15 = 131,706.10/x
  3. Step 3: Cross multiply
    142,765.30x = 213,687.15 × 131,706.10
  4. Step 4: Simplify right side
    142,765.30x = 28,143,901,146.62
  5. Step 5: Solve for x
    x = 28,143,901,146.62/142,765.30
  6. Step 6: Final answer
    x = 197,134.05

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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.