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Finding the Fourth Proportional to 133,412.60, 200,349.30 and 71,204.60

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Solution

The fourth proportional to 133,412.60, 200,349.30 and 71,204.60 is: 106,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,412.60 : 200,349.30 = 71,204.60 : x
  2. Step 2: Convert to fraction form
    133,412.60/200,349.30 = 71,204.60/x
  3. Step 3: Cross multiply
    133,412.60x = 200,349.30 × 71,204.60
  4. Step 4: Simplify right side
    133,412.60x = 14,265,791,766.78
  5. Step 5: Solve for x
    x = 14,265,791,766.78/133,412.60
  6. Step 6: Final answer
    x = 106,929.87

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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.