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Finding the Fourth Proportional to 106,329.76, 159,494.84 and 99,834.40

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Solution

The fourth proportional to 106,329.76, 159,494.84 and 99,834.40 is: 149,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,329.76 : 159,494.84 = 99,834.40 : x
  2. Step 2: Convert to fraction form
    106,329.76/159,494.84 = 99,834.40/x
  3. Step 3: Cross multiply
    106,329.76x = 159,494.84 × 99,834.40
  4. Step 4: Simplify right side
    106,329.76x = 15,923,071,654.50
  5. Step 5: Solve for x
    x = 15,923,071,654.50/106,329.76
  6. Step 6: Final answer
    x = 149,751.79

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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.