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Finding the Fourth Proportional to 106,793.96, 160,189.98 and 75,073.16

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Solution

The fourth proportional to 106,793.96, 160,189.98 and 75,073.16 is: 112,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,793.96 : 160,189.98 = 75,073.16 : x
  2. Step 2: Convert to fraction form
    106,793.96/160,189.98 = 75,073.16/x
  3. Step 3: Cross multiply
    106,793.96x = 160,189.98 × 75,073.16
  4. Step 4: Simplify right side
    106,793.96x = 12,025,967,998.94
  5. Step 5: Solve for x
    x = 12,025,967,998.94/106,793.96
  6. Step 6: Final answer
    x = 112,609.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.