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Finding the Fourth Proportional to 143,799.60, 198,444.24 and 83,406

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Solution

The fourth proportional to 143,799.60, 198,444.24 and 83,406 is: 115,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,799.60 : 198,444.24 = 83,406 : x
  2. Step 2: Convert to fraction form
    143,799.60/198,444.24 = 83,406/x
  3. Step 3: Cross multiply
    143,799.60x = 198,444.24 × 83,406
  4. Step 4: Simplify right side
    143,799.60x = 16,551,440,281.44
  5. Step 5: Solve for x
    x = 16,551,440,281.44/143,799.60
  6. Step 6: Final answer
    x = 115,100.74

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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.