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Finding the Fourth Proportional to 160,104.87, 220,913.33 and 96,446.16

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Solution

The fourth proportional to 160,104.87, 220,913.33 and 96,446.16 is: 133,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,104.87 : 220,913.33 = 96,446.16 : x
  2. Step 2: Convert to fraction form
    160,104.87/220,913.33 = 96,446.16/x
  3. Step 3: Cross multiply
    160,104.87x = 220,913.33 × 96,446.16
  4. Step 4: Simplify right side
    160,104.87x = 21,306,241,889.08
  5. Step 5: Solve for x
    x = 21,306,241,889.08/160,104.87
  6. Step 6: Final answer
    x = 133,076.79

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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.