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Finding the Fourth Proportional to 160,177.74, 220,938.21 and 96,449.10

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Solution

The fourth proportional to 160,177.74, 220,938.21 and 96,449.10 is: 133,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,177.74 : 220,938.21 = 96,449.10 : x
  2. Step 2: Convert to fraction form
    160,177.74/220,938.21 = 96,449.10/x
  3. Step 3: Cross multiply
    160,177.74x = 220,938.21 × 96,449.10
  4. Step 4: Simplify right side
    160,177.74x = 21,309,291,510.11
  5. Step 5: Solve for x
    x = 21,309,291,510.11/160,177.74
  6. Step 6: Final answer
    x = 133,035.29

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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.