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Finding the Fourth Proportional to 100,042.56, 137,923.63 and 64,170.29

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Solution

The fourth proportional to 100,042.56, 137,923.63 and 64,170.29 is: 88,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042.56 : 137,923.63 = 64,170.29 : x
  2. Step 2: Convert to fraction form
    100,042.56/137,923.63 = 64,170.29/x
  3. Step 3: Cross multiply
    100,042.56x = 137,923.63 × 64,170.29
  4. Step 4: Simplify right side
    100,042.56x = 8,850,599,519.34
  5. Step 5: Solve for x
    x = 8,850,599,519.34/100,042.56
  6. Step 6: Final answer
    x = 88,468.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.