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Finding the Fourth Proportional to 160,694.26, 221,734.80 and 89,074.26

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Solution

The fourth proportional to 160,694.26, 221,734.80 and 89,074.26 is: 122,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,694.26 : 221,734.80 = 89,074.26 : x
  2. Step 2: Convert to fraction form
    160,694.26/221,734.80 = 89,074.26/x
  3. Step 3: Cross multiply
    160,694.26x = 221,734.80 × 89,074.26
  4. Step 4: Simplify right side
    160,694.26x = 19,750,863,226.25
  5. Step 5: Solve for x
    x = 19,750,863,226.25/160,694.26
  6. Step 6: Final answer
    x = 122,909.58

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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.