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Finding the Fourth Proportional to 172,499.64, 238,052.19 and 96,019.57

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Solution

The fourth proportional to 172,499.64, 238,052.19 and 96,019.57 is: 132,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,499.64 : 238,052.19 = 96,019.57 : x
  2. Step 2: Convert to fraction form
    172,499.64/238,052.19 = 96,019.57/x
  3. Step 3: Cross multiply
    172,499.64x = 238,052.19 × 96,019.57
  4. Step 4: Simplify right side
    172,499.64x = 22,857,668,921.36
  5. Step 5: Solve for x
    x = 22,857,668,921.36/172,499.64
  6. Step 6: Final answer
    x = 132,508.50

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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.