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Finding the Fourth Proportional to 106,742.80, 160,114.20 and 67,376.80

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Solution

The fourth proportional to 106,742.80, 160,114.20 and 67,376.80 is: 101,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,742.80 : 160,114.20 = 67,376.80 : x
  2. Step 2: Convert to fraction form
    106,742.80/160,114.20 = 67,376.80/x
  3. Step 3: Cross multiply
    106,742.80x = 160,114.20 × 67,376.80
  4. Step 4: Simplify right side
    106,742.80x = 10,787,982,430.56
  5. Step 5: Solve for x
    x = 10,787,982,430.56/106,742.80
  6. Step 6: Final answer
    x = 101,065.20

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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.