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Finding the Fourth Proportional to 99,422.68, 137,201.06 and 54,100.78

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Solution

The fourth proportional to 99,422.68, 137,201.06 and 54,100.78 is: 74,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,422.68 : 137,201.06 = 54,100.78 : x
  2. Step 2: Convert to fraction form
    99,422.68/137,201.06 = 54,100.78/x
  3. Step 3: Cross multiply
    99,422.68x = 137,201.06 × 54,100.78
  4. Step 4: Simplify right side
    99,422.68x = 7,422,684,362.83
  5. Step 5: Solve for x
    x = 7,422,684,362.83/99,422.68
  6. Step 6: Final answer
    x = 74,657.86

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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.