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Finding the Fourth Proportional to 100,617.29, 138,845.15 and 55,294.29

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Solution

The fourth proportional to 100,617.29, 138,845.15 and 55,294.29 is: 76,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,617.29 : 138,845.15 = 55,294.29 : x
  2. Step 2: Convert to fraction form
    100,617.29/138,845.15 = 55,294.29/x
  3. Step 3: Cross multiply
    100,617.29x = 138,845.15 × 55,294.29
  4. Step 4: Simplify right side
    100,617.29x = 7,677,343,712.72
  5. Step 5: Solve for x
    x = 7,677,343,712.72/100,617.29
  6. Step 6: Final answer
    x = 76,302.43

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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.