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Finding the Fourth Proportional to 240,097.64, 360,146.45 and 82,327.46

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Solution

The fourth proportional to 240,097.64, 360,146.45 and 82,327.46 is: 123,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,097.64 : 360,146.45 = 82,327.46 : x
  2. Step 2: Convert to fraction form
    240,097.64/360,146.45 = 82,327.46/x
  3. Step 3: Cross multiply
    240,097.64x = 360,146.45 × 82,327.46
  4. Step 4: Simplify right side
    240,097.64x = 29,649,940,861.60
  5. Step 5: Solve for x
    x = 29,649,940,861.60/240,097.64
  6. Step 6: Final answer
    x = 123,491.18

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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.