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Finding the Fourth Proportional to 146,046.34, 218,981.12 and 71,091.47

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Solution

The fourth proportional to 146,046.34, 218,981.12 and 71,091.47 is: 106,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,046.34 : 218,981.12 = 71,091.47 : x
  2. Step 2: Convert to fraction form
    146,046.34/218,981.12 = 71,091.47/x
  3. Step 3: Cross multiply
    146,046.34x = 218,981.12 × 71,091.47
  4. Step 4: Simplify right side
    146,046.34x = 15,567,690,314.93
  5. Step 5: Solve for x
    x = 15,567,690,314.93/146,046.34
  6. Step 6: Final answer
    x = 106,594.18

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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.