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Finding the Fourth Proportional to 142,003.30, 212,824.05 and 75,475.30

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Solution

The fourth proportional to 142,003.30, 212,824.05 and 75,475.30 is: 113,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,003.30 : 212,824.05 = 75,475.30 : x
  2. Step 2: Convert to fraction form
    142,003.30/212,824.05 = 75,475.30/x
  3. Step 3: Cross multiply
    142,003.30x = 212,824.05 × 75,475.30
  4. Step 4: Simplify right side
    142,003.30x = 16,062,959,020.97
  5. Step 5: Solve for x
    x = 16,062,959,020.97/142,003.30
  6. Step 6: Final answer
    x = 113,116.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.