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Finding the Fourth Proportional to 117,920.50, 162,729.24 and 64,205.38

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Solution

The fourth proportional to 117,920.50, 162,729.24 and 64,205.38 is: 88,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,920.50 : 162,729.24 = 64,205.38 : x
  2. Step 2: Convert to fraction form
    117,920.50/162,729.24 = 64,205.38/x
  3. Step 3: Cross multiply
    117,920.50x = 162,729.24 × 64,205.38
  4. Step 4: Simplify right side
    117,920.50x = 10,448,092,691.31
  5. Step 5: Solve for x
    x = 10,448,092,691.31/117,920.50
  6. Step 6: Final answer
    x = 88,602.85

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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.