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Finding the Fourth Proportional to 172,767.68, 238,415.81 and 96,286.47

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Solution

The fourth proportional to 172,767.68, 238,415.81 and 96,286.47 is: 132,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,767.68 : 238,415.81 = 96,286.47 : x
  2. Step 2: Convert to fraction form
    172,767.68/238,415.81 = 96,286.47/x
  3. Step 3: Cross multiply
    172,767.68x = 238,415.81 × 96,286.47
  4. Step 4: Simplify right side
    172,767.68x = 22,956,216,702.69
  5. Step 5: Solve for x
    x = 22,956,216,702.69/172,767.68
  6. Step 6: Final answer
    x = 132,873.33

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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.