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Finding the Fourth Proportional to 172,865.98, 238,537.56 and 96,377.84

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Solution

The fourth proportional to 172,865.98, 238,537.56 and 96,377.84 is: 132,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,865.98 : 238,537.56 = 96,377.84 : x
  2. Step 2: Convert to fraction form
    172,865.98/238,537.56 = 96,377.84/x
  3. Step 3: Cross multiply
    172,865.98x = 238,537.56 × 96,377.84
  4. Step 4: Simplify right side
    172,865.98x = 22,989,733,960.40
  5. Step 5: Solve for x
    x = 22,989,733,960.40/172,865.98
  6. Step 6: Final answer
    x = 132,991.66

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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.