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Finding the Fourth Proportional to 147,046.59, 220,473.10 and 96,974.01

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Solution

The fourth proportional to 147,046.59, 220,473.10 and 96,974.01 is: 145,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,046.59 : 220,473.10 = 96,974.01 : x
  2. Step 2: Convert to fraction form
    147,046.59/220,473.10 = 96,974.01/x
  3. Step 3: Cross multiply
    147,046.59x = 220,473.10 × 96,974.01
  4. Step 4: Simplify right side
    147,046.59x = 21,380,161,063.82
  5. Step 5: Solve for x
    x = 21,380,161,063.82/147,046.59
  6. Step 6: Final answer
    x = 145,397.19

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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.