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Finding the Fourth Proportional to 160,794.09, 221,909.13 and 89,197.20

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Solution

The fourth proportional to 160,794.09, 221,909.13 and 89,197.20 is: 123,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,794.09 : 221,909.13 = 89,197.20 : x
  2. Step 2: Convert to fraction form
    160,794.09/221,909.13 = 89,197.20/x
  3. Step 3: Cross multiply
    160,794.09x = 221,909.13 × 89,197.20
  4. Step 4: Simplify right side
    160,794.09x = 19,793,673,050.44
  5. Step 5: Solve for x
    x = 19,793,673,050.44/160,794.09
  6. Step 6: Final answer
    x = 123,099.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.