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Finding the Fourth Proportional to 160,797.55, 221,914.23 and 89,200.63

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Solution

The fourth proportional to 160,797.55, 221,914.23 and 89,200.63 is: 123,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,797.55 : 221,914.23 = 89,200.63 : x
  2. Step 2: Convert to fraction form
    160,797.55/221,914.23 = 89,200.63/x
  3. Step 3: Cross multiply
    160,797.55x = 221,914.23 × 89,200.63
  4. Step 4: Simplify right side
    160,797.55x = 19,794,889,121.96
  5. Step 5: Solve for x
    x = 19,794,889,121.96/160,797.55
  6. Step 6: Final answer
    x = 123,104.42

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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.