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Finding the Fourth Proportional to 109,752.78, 151,458.84 and 59,451.78

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Solution

The fourth proportional to 109,752.78, 151,458.84 and 59,451.78 is: 82,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752.78 : 151,458.84 = 59,451.78 : x
  2. Step 2: Convert to fraction form
    109,752.78/151,458.84 = 59,451.78/x
  3. Step 3: Cross multiply
    109,752.78x = 151,458.84 × 59,451.78
  4. Step 4: Simplify right side
    109,752.78x = 9,004,497,634.74
  5. Step 5: Solve for x
    x = 9,004,497,634.74/109,752.78
  6. Step 6: Final answer
    x = 82,043.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.