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Finding the Fourth Proportional to 243,797.61, 365,731.40 and 75,332.65

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Solution

The fourth proportional to 243,797.61, 365,731.40 and 75,332.65 is: 113,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,797.61 : 365,731.40 = 75,332.65 : x
  2. Step 2: Convert to fraction form
    243,797.61/365,731.40 = 75,332.65/x
  3. Step 3: Cross multiply
    243,797.61x = 365,731.40 × 75,332.65
  4. Step 4: Simplify right side
    243,797.61x = 27,551,515,738.54
  5. Step 5: Solve for x
    x = 27,551,515,738.54/243,797.61
  6. Step 6: Final answer
    x = 113,009.78

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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.