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Finding the Fourth Proportional to 107,227.80, 160,695.90 and 71,587.80

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Solution

The fourth proportional to 107,227.80, 160,695.90 and 71,587.80 is: 107,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,227.80 : 160,695.90 = 71,587.80 : x
  2. Step 2: Convert to fraction form
    107,227.80/160,695.90 = 71,587.80/x
  3. Step 3: Cross multiply
    107,227.80x = 160,695.90 × 71,587.80
  4. Step 4: Simplify right side
    107,227.80x = 11,503,865,950.02
  5. Step 5: Solve for x
    x = 11,503,865,950.02/107,227.80
  6. Step 6: Final answer
    x = 107,284.36

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1.5x scale

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.