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Finding the Fourth Proportional to 171,967.26, 237,314.80 and 96,515.76

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Solution

The fourth proportional to 171,967.26, 237,314.80 and 96,515.76 is: 133,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,967.26 : 237,314.80 = 96,515.76 : x
  2. Step 2: Convert to fraction form
    171,967.26/237,314.80 = 96,515.76/x
  3. Step 3: Cross multiply
    171,967.26x = 237,314.80 × 96,515.76
  4. Step 4: Simplify right side
    171,967.26x = 22,904,618,281.25
  5. Step 5: Solve for x
    x = 22,904,618,281.25/171,967.26
  6. Step 6: Final answer
    x = 133,191.74

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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.