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Finding the Fourth Proportional to 142,915.68, 214,405.92 and 49,422.24

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Solution

The fourth proportional to 142,915.68, 214,405.92 and 49,422.24 is: 74,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,915.68 : 214,405.92 = 49,422.24 : x
  2. Step 2: Convert to fraction form
    142,915.68/214,405.92 = 49,422.24/x
  3. Step 3: Cross multiply
    142,915.68x = 214,405.92 × 49,422.24
  4. Step 4: Simplify right side
    142,915.68x = 10,596,420,835.66
  5. Step 5: Solve for x
    x = 10,596,420,835.66/142,915.68
  6. Step 6: Final answer
    x = 74,144.56

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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.