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Finding the Fourth Proportional to 188,691.28, 282,953.82 and 99,924.04

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Solution

The fourth proportional to 188,691.28, 282,953.82 and 99,924.04 is: 149,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,691.28 : 282,953.82 = 99,924.04 : x
  2. Step 2: Convert to fraction form
    188,691.28/282,953.82 = 99,924.04/x
  3. Step 3: Cross multiply
    188,691.28x = 282,953.82 × 99,924.04
  4. Step 4: Simplify right side
    188,691.28x = 28,273,888,827.83
  5. Step 5: Solve for x
    x = 28,273,888,827.83/188,691.28
  6. Step 6: Final answer
    x = 149,842.05

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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.