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Finding the Fourth Proportional to 100,498.47, 138,687.18 and 55,177.22

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Solution

The fourth proportional to 100,498.47, 138,687.18 and 55,177.22 is: 76,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,498.47 : 138,687.18 = 55,177.22 : x
  2. Step 2: Convert to fraction form
    100,498.47/138,687.18 = 55,177.22/x
  3. Step 3: Cross multiply
    100,498.47x = 138,687.18 × 55,177.22
  4. Step 4: Simplify right side
    100,498.47x = 7,652,372,210.66
  5. Step 5: Solve for x
    x = 7,652,372,210.66/100,498.47
  6. Step 6: Final answer
    x = 76,144.17

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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.