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Finding the Fourth Proportional to 195,695.60, 293,658.60 and 71,020.40

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Solution

The fourth proportional to 195,695.60, 293,658.60 and 71,020.40 is: 106,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,695.60 : 293,658.60 = 71,020.40 : x
  2. Step 2: Convert to fraction form
    195,695.60/293,658.60 = 71,020.40/x
  3. Step 3: Cross multiply
    195,695.60x = 293,658.60 × 71,020.40
  4. Step 4: Simplify right side
    195,695.60x = 20,855,751,235.44
  5. Step 5: Solve for x
    x = 20,855,751,235.44/195,695.60
  6. Step 6: Final answer
    x = 106,572.41

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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.