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Finding the Fourth Proportional to 188,458.92, 282,717.54 and 117,326.75

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Solution

The fourth proportional to 188,458.92, 282,717.54 and 117,326.75 is: 176,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,458.92 : 282,717.54 = 117,326.75 : x
  2. Step 2: Convert to fraction form
    188,458.92/282,717.54 = 117,326.75/x
  3. Step 3: Cross multiply
    188,458.92x = 282,717.54 × 117,326.75
  4. Step 4: Simplify right side
    188,458.92x = 33,170,328,722.61
  5. Step 5: Solve for x
    x = 33,170,328,722.61/188,458.92
  6. Step 6: Final answer
    x = 176,008.27

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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.