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Finding the Fourth Proportional to 106,938.80, 160,408.20 and 75,834.80

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Solution

The fourth proportional to 106,938.80, 160,408.20 and 75,834.80 is: 113,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,938.80 : 160,408.20 = 75,834.80 : x
  2. Step 2: Convert to fraction form
    106,938.80/160,408.20 = 75,834.80/x
  3. Step 3: Cross multiply
    106,938.80x = 160,408.20 × 75,834.80
  4. Step 4: Simplify right side
    106,938.80x = 12,164,523,765.36
  5. Step 5: Solve for x
    x = 12,164,523,765.36/106,938.80
  6. Step 6: Final answer
    x = 113,752.20

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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.