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Finding the Fourth Proportional to 106,546.80, 159,820.20 and 67,148.40

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Solution

The fourth proportional to 106,546.80, 159,820.20 and 67,148.40 is: 100,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546.80 : 159,820.20 = 67,148.40 : x
  2. Step 2: Convert to fraction form
    106,546.80/159,820.20 = 67,148.40/x
  3. Step 3: Cross multiply
    106,546.80x = 159,820.20 × 67,148.40
  4. Step 4: Simplify right side
    106,546.80x = 10,731,670,717.68
  5. Step 5: Solve for x
    x = 10,731,670,717.68/106,546.80
  6. Step 6: Final answer
    x = 100,722.60

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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.