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Finding the Fourth Proportional to 130,912.32, 196,310.16 and 47,748

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Solution

The fourth proportional to 130,912.32, 196,310.16 and 47,748 is: 71,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,912.32 : 196,310.16 = 47,748 : x
  2. Step 2: Convert to fraction form
    130,912.32/196,310.16 = 47,748/x
  3. Step 3: Cross multiply
    130,912.32x = 196,310.16 × 47,748
  4. Step 4: Simplify right side
    130,912.32x = 9,373,417,519.68
  5. Step 5: Solve for x
    x = 9,373,417,519.68/130,912.32
  6. Step 6: Final answer
    x = 71,600.73

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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.