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Finding the Fourth Proportional to 172,146.76, 237,584.80 and 96,695.24

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Solution

The fourth proportional to 172,146.76, 237,584.80 and 96,695.24 is: 133,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,146.76 : 237,584.80 = 96,695.24 : x
  2. Step 2: Convert to fraction form
    172,146.76/237,584.80 = 96,695.24/x
  3. Step 3: Cross multiply
    172,146.76x = 237,584.80 × 96,695.24
  4. Step 4: Simplify right side
    172,146.76x = 22,973,319,256.35
  5. Step 5: Solve for x
    x = 22,973,319,256.35/172,146.76
  6. Step 6: Final answer
    x = 133,451.94

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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.