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Finding the Fourth Proportional to 96,314.60, 133,046.34 and 87,372.20

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Solution

The fourth proportional to 96,314.60, 133,046.34 and 87,372.20 is: 120,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,314.60 : 133,046.34 = 87,372.20 : x
  2. Step 2: Convert to fraction form
    96,314.60/133,046.34 = 87,372.20/x
  3. Step 3: Cross multiply
    96,314.60x = 133,046.34 × 87,372.20
  4. Step 4: Simplify right side
    96,314.60x = 11,624,551,427.75
  5. Step 5: Solve for x
    x = 11,624,551,427.75/96,314.60
  6. Step 6: Final answer
    x = 120,693.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.