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Finding the Fourth Proportional to 235,925.68, 353,753.56 and 109,500.82

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Solution

The fourth proportional to 235,925.68, 353,753.56 and 109,500.82 is: 164,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,925.68 : 353,753.56 = 109,500.82 : x
  2. Step 2: Convert to fraction form
    235,925.68/353,753.56 = 109,500.82/x
  3. Step 3: Cross multiply
    235,925.68x = 353,753.56 × 109,500.82
  4. Step 4: Simplify right side
    235,925.68x = 38,736,304,897.92
  5. Step 5: Solve for x
    x = 38,736,304,897.92/235,925.68
  6. Step 6: Final answer
    x = 164,188.59

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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.