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Finding the Fourth Proportional to 160,797.05, 221,913.23 and 89,200.20

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Solution

The fourth proportional to 160,797.05, 221,913.23 and 89,200.20 is: 123,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,797.05 : 221,913.23 = 89,200.20 : x
  2. Step 2: Convert to fraction form
    160,797.05/221,913.23 = 89,200.20/x
  3. Step 3: Cross multiply
    160,797.05x = 221,913.23 × 89,200.20
  4. Step 4: Simplify right side
    160,797.05x = 19,794,704,052.65
  5. Step 5: Solve for x
    x = 19,794,704,052.65/160,797.05
  6. Step 6: Final answer
    x = 123,103.66

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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.