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Finding the Fourth Proportional to 195,424.60, 293,136.90 and 47,680.60

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Solution

The fourth proportional to 195,424.60, 293,136.90 and 47,680.60 is: 71,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,424.60 : 293,136.90 = 47,680.60 : x
  2. Step 2: Convert to fraction form
    195,424.60/293,136.90 = 47,680.60/x
  3. Step 3: Cross multiply
    195,424.60x = 293,136.90 × 47,680.60
  4. Step 4: Simplify right side
    195,424.60x = 13,976,943,274.14
  5. Step 5: Solve for x
    x = 13,976,943,274.14/195,424.60
  6. Step 6: Final answer
    x = 71,520.90

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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.