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Finding the Fourth Proportional to 243,721.22, 365,447.85 and 75,195.56

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Solution

The fourth proportional to 243,721.22, 365,447.85 and 75,195.56 is: 112,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,721.22 : 365,447.85 = 75,195.56 : x
  2. Step 2: Convert to fraction form
    243,721.22/365,447.85 = 75,195.56/x
  3. Step 3: Cross multiply
    243,721.22x = 365,447.85 × 75,195.56
  4. Step 4: Simplify right side
    243,721.22x = 27,480,053,904.31
  5. Step 5: Solve for x
    x = 27,480,053,904.31/243,721.22
  6. Step 6: Final answer
    x = 112,752.00

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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.