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Finding the Fourth Proportional to 172,802.26, 238,468.20 and 96,326.21

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Solution

The fourth proportional to 172,802.26, 238,468.20 and 96,326.21 is: 132,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,802.26 : 238,468.20 = 96,326.21 : x
  2. Step 2: Convert to fraction form
    172,802.26/238,468.20 = 96,326.21/x
  3. Step 3: Cross multiply
    172,802.26x = 238,468.20 × 96,326.21
  4. Step 4: Simplify right side
    172,802.26x = 22,970,737,911.52
  5. Step 5: Solve for x
    x = 22,970,737,911.52/172,802.26
  6. Step 6: Final answer
    x = 132,930.77

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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.