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Finding the Fourth Proportional to 130,858.32, 196,229.16 and 47,694

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Solution

The fourth proportional to 130,858.32, 196,229.16 and 47,694 is: 71,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,858.32 : 196,229.16 = 47,694 : x
  2. Step 2: Convert to fraction form
    130,858.32/196,229.16 = 47,694/x
  3. Step 3: Cross multiply
    130,858.32x = 196,229.16 × 47,694
  4. Step 4: Simplify right side
    130,858.32x = 9,358,953,557.04
  5. Step 5: Solve for x
    x = 9,358,953,557.04/130,858.32
  6. Step 6: Final answer
    x = 71,519.74

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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.