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Finding the Fourth Proportional to 121,976.60, 182,964.90 and 47,100.20

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Solution

The fourth proportional to 121,976.60, 182,964.90 and 47,100.20 is: 70,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,976.60 : 182,964.90 = 47,100.20 : x
  2. Step 2: Convert to fraction form
    121,976.60/182,964.90 = 47,100.20/x
  3. Step 3: Cross multiply
    121,976.60x = 182,964.90 × 47,100.20
  4. Step 4: Simplify right side
    121,976.60x = 8,617,683,382.98
  5. Step 5: Solve for x
    x = 8,617,683,382.98/121,976.60
  6. Step 6: Final answer
    x = 70,650.30

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Why These Related Problems?

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