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Finding the Fourth Proportional to 100,129.88, 138,180.66 and 55,417.88

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Solution

The fourth proportional to 100,129.88, 138,180.66 and 55,417.88 is: 76,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,129.88 : 138,180.66 = 55,417.88 : x
  2. Step 2: Convert to fraction form
    100,129.88/138,180.66 = 55,417.88/x
  3. Step 3: Cross multiply
    100,129.88x = 138,180.66 × 55,417.88
  4. Step 4: Simplify right side
    100,129.88x = 7,657,679,234.20
  5. Step 5: Solve for x
    x = 7,657,679,234.20/100,129.88
  6. Step 6: Final answer
    x = 76,477.46

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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.