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Finding the Fourth Proportional to 147,414.30, 203,431.80 and 83,752.20

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Solution

The fourth proportional to 147,414.30, 203,431.80 and 83,752.20 is: 115,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,414.30 : 203,431.80 = 83,752.20 : x
  2. Step 2: Convert to fraction form
    147,414.30/203,431.80 = 83,752.20/x
  3. Step 3: Cross multiply
    147,414.30x = 203,431.80 × 83,752.20
  4. Step 4: Simplify right side
    147,414.30x = 17,037,860,799.96
  5. Step 5: Solve for x
    x = 17,037,860,799.96/147,414.30
  6. Step 6: Final answer
    x = 115,578.07

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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.