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Finding the Fourth Proportional to 147,422.32, 203,442.80 and 83,760.20

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Solution

The fourth proportional to 147,422.32, 203,442.80 and 83,760.20 is: 115,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,422.32 : 203,442.80 = 83,760.20 : x
  2. Step 2: Convert to fraction form
    147,422.32/203,442.80 = 83,760.20/x
  3. Step 3: Cross multiply
    147,422.32x = 203,442.80 × 83,760.20
  4. Step 4: Simplify right side
    147,422.32x = 17,040,409,616.56
  5. Step 5: Solve for x
    x = 17,040,409,616.56/147,422.32
  6. Step 6: Final answer
    x = 115,589.08

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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.