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Finding the Fourth Proportional to 130,147.60, 195,123.24 and 71,033.68

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Solution

The fourth proportional to 130,147.60, 195,123.24 and 71,033.68 is: 106,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,147.60 : 195,123.24 = 71,033.68 : x
  2. Step 2: Convert to fraction form
    130,147.60/195,123.24 = 71,033.68/x
  3. Step 3: Cross multiply
    130,147.60x = 195,123.24 × 71,033.68
  4. Step 4: Simplify right side
    130,147.60x = 13,860,321,790.72
  5. Step 5: Solve for x
    x = 13,860,321,790.72/130,147.60
  6. Step 6: Final answer
    x = 106,496.94

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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.