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Finding the Fourth Proportional to 240,952.96, 361,471.74 and 81,013.60

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Solution

The fourth proportional to 240,952.96, 361,471.74 and 81,013.60 is: 121,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,952.96 : 361,471.74 = 81,013.60 : x
  2. Step 2: Convert to fraction form
    240,952.96/361,471.74 = 81,013.60/x
  3. Step 3: Cross multiply
    240,952.96x = 361,471.74 × 81,013.60
  4. Step 4: Simplify right side
    240,952.96x = 29,284,126,955.66
  5. Step 5: Solve for x
    x = 29,284,126,955.66/240,952.96
  6. Step 6: Final answer
    x = 121,534.62

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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.