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Finding the Fourth Proportional to 97,694.79, 146,314.31 and 71,334.15

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Solution

The fourth proportional to 97,694.79, 146,314.31 and 71,334.15 is: 106,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694.79 : 146,314.31 = 71,334.15 : x
  2. Step 2: Convert to fraction form
    97,694.79/146,314.31 = 71,334.15/x
  3. Step 3: Cross multiply
    97,694.79x = 146,314.31 × 71,334.15
  4. Step 4: Simplify right side
    97,694.79x = 10,437,206,580.02
  5. Step 5: Solve for x
    x = 10,437,206,580.02/97,694.79
  6. Step 6: Final answer
    x = 106,834.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.