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Finding the Fourth Proportional to 172,543.62, 238,195.98 and 133,694.22

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Solution

The fourth proportional to 172,543.62, 238,195.98 and 133,694.22 is: 184,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,543.62 : 238,195.98 = 133,694.22 : x
  2. Step 2: Convert to fraction form
    172,543.62/238,195.98 = 133,694.22/x
  3. Step 3: Cross multiply
    172,543.62x = 238,195.98 × 133,694.22
  4. Step 4: Simplify right side
    172,543.62x = 31,845,425,753.24
  5. Step 5: Solve for x
    x = 31,845,425,753.24/172,543.62
  6. Step 6: Final answer
    x = 184,564.49

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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.