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Finding the Fourth Proportional to 147,407.28, 203,422.12 and 83,745.20

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Solution

The fourth proportional to 147,407.28, 203,422.12 and 83,745.20 is: 115,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,407.28 : 203,422.12 = 83,745.20 : x
  2. Step 2: Convert to fraction form
    147,407.28/203,422.12 = 83,745.20/x
  3. Step 3: Cross multiply
    147,407.28x = 203,422.12 × 83,745.20
  4. Step 4: Simplify right side
    147,407.28x = 17,035,626,123.82
  5. Step 5: Solve for x
    x = 17,035,626,123.82/147,407.28
  6. Step 6: Final answer
    x = 115,568.42

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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.