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Finding the Fourth Proportional to 106,711.68, 159,600.96 and 74,597.76

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Solution

The fourth proportional to 106,711.68, 159,600.96 and 74,597.76 is: 111,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,711.68 : 159,600.96 = 74,597.76 : x
  2. Step 2: Convert to fraction form
    106,711.68/159,600.96 = 74,597.76/x
  3. Step 3: Cross multiply
    106,711.68x = 159,600.96 × 74,597.76
  4. Step 4: Simplify right side
    106,711.68x = 11,905,874,109.85
  5. Step 5: Solve for x
    x = 11,905,874,109.85/106,711.68
  6. Step 6: Final answer
    x = 111,570.49

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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.