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Finding the Fourth Proportional to 172,909.63, 238,812.11 and 116,222.59

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Solution

The fourth proportional to 172,909.63, 238,812.11 and 116,222.59 is: 160,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,909.63 : 238,812.11 = 116,222.59 : x
  2. Step 2: Convert to fraction form
    172,909.63/238,812.11 = 116,222.59/x
  3. Step 3: Cross multiply
    172,909.63x = 238,812.11 × 116,222.59
  4. Step 4: Simplify right side
    172,909.63x = 27,755,361,044.06
  5. Step 5: Solve for x
    x = 27,755,361,044.06/172,909.63
  6. Step 6: Final answer
    x = 160,519.47

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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.