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Finding the Fourth Proportional to 142,745.60, 214,056.48 and 76,171.16

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Solution

The fourth proportional to 142,745.60, 214,056.48 and 76,171.16 is: 114,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.60 : 214,056.48 = 76,171.16 : x
  2. Step 2: Convert to fraction form
    142,745.60/214,056.48 = 76,171.16/x
  3. Step 3: Cross multiply
    142,745.60x = 214,056.48 × 76,171.16
  4. Step 4: Simplify right side
    142,745.60x = 16,304,930,387.12
  5. Step 5: Solve for x
    x = 16,304,930,387.12/142,745.60
  6. Step 6: Final answer
    x = 114,223.70

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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.