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Finding the Fourth Proportional to 130,142.60, 195,115.74 and 71,028.68

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Solution

The fourth proportional to 130,142.60, 195,115.74 and 71,028.68 is: 106,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,142.60 : 195,115.74 = 71,028.68 : x
  2. Step 2: Convert to fraction form
    130,142.60/195,115.74 = 71,028.68/x
  3. Step 3: Cross multiply
    130,142.60x = 195,115.74 × 71,028.68
  4. Step 4: Simplify right side
    130,142.60x = 13,858,813,459.42
  5. Step 5: Solve for x
    x = 13,858,813,459.42/130,142.60
  6. Step 6: Final answer
    x = 106,489.45

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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.