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Finding the Fourth Proportional to 100,397.48, 138,550.37 and 55,077.78

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Solution

The fourth proportional to 100,397.48, 138,550.37 and 55,077.78 is: 76,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397.48 : 138,550.37 = 55,077.78 : x
  2. Step 2: Convert to fraction form
    100,397.48/138,550.37 = 55,077.78/x
  3. Step 3: Cross multiply
    100,397.48x = 138,550.37 × 55,077.78
  4. Step 4: Simplify right side
    100,397.48x = 7,631,046,262.61
  5. Step 5: Solve for x
    x = 7,631,046,262.61/100,397.48
  6. Step 6: Final answer
    x = 76,008.34

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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.