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Finding the Fourth Proportional to 147,038.20, 202,949.74 and 83,414.20

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Solution

The fourth proportional to 147,038.20, 202,949.74 and 83,414.20 is: 115,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,038.20 : 202,949.74 = 83,414.20 : x
  2. Step 2: Convert to fraction form
    147,038.20/202,949.74 = 83,414.20/x
  3. Step 3: Cross multiply
    147,038.20x = 202,949.74 × 83,414.20
  4. Step 4: Simplify right side
    147,038.20x = 16,928,890,202.31
  5. Step 5: Solve for x
    x = 16,928,890,202.31/147,038.20
  6. Step 6: Final answer
    x = 115,132.60

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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.