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Finding the Fourth Proportional to 240,843.81, 361,349.55 and 107,738.13

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Solution

The fourth proportional to 240,843.81, 361,349.55 and 107,738.13 is: 161,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,843.81 : 361,349.55 = 107,738.13 : x
  2. Step 2: Convert to fraction form
    240,843.81/361,349.55 = 107,738.13/x
  3. Step 3: Cross multiply
    240,843.81x = 361,349.55 × 107,738.13
  4. Step 4: Simplify right side
    240,843.81x = 38,931,124,793.34
  5. Step 5: Solve for x
    x = 38,931,124,793.34/240,843.81
  6. Step 6: Final answer
    x = 161,644.70

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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.