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Finding the Fourth Proportional to 100,418.13, 138,578.38 and 55,095.29

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Solution

The fourth proportional to 100,418.13, 138,578.38 and 55,095.29 is: 76,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418.13 : 138,578.38 = 55,095.29 : x
  2. Step 2: Convert to fraction form
    100,418.13/138,578.38 = 55,095.29/x
  3. Step 3: Cross multiply
    100,418.13x = 138,578.38 × 55,095.29
  4. Step 4: Simplify right side
    100,418.13x = 7,635,015,065.46
  5. Step 5: Solve for x
    x = 7,635,015,065.46/100,418.13
  6. Step 6: Final answer
    x = 76,032.24

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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.