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Finding the Fourth Proportional to 188,624.42, 282,932.52 and 88,729.24

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Solution

The fourth proportional to 188,624.42, 282,932.52 and 88,729.24 is: 133,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,624.42 : 282,932.52 = 88,729.24 : x
  2. Step 2: Convert to fraction form
    188,624.42/282,932.52 = 88,729.24/x
  3. Step 3: Cross multiply
    188,624.42x = 282,932.52 × 88,729.24
  4. Step 4: Simplify right side
    188,624.42x = 25,104,387,470.88
  5. Step 5: Solve for x
    x = 25,104,387,470.88/188,624.42
  6. Step 6: Final answer
    x = 133,091.93

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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.