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Finding the Fourth Proportional to 242,011.26, 363,065.90 and 101,769.75

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Solution

The fourth proportional to 242,011.26, 363,065.90 and 101,769.75 is: 152,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,011.26 : 363,065.90 = 101,769.75 : x
  2. Step 2: Convert to fraction form
    242,011.26/363,065.90 = 101,769.75/x
  3. Step 3: Cross multiply
    242,011.26x = 363,065.90 × 101,769.75
  4. Step 4: Simplify right side
    242,011.26x = 36,949,125,367.68
  5. Step 5: Solve for x
    x = 36,949,125,367.68/242,011.26
  6. Step 6: Final answer
    x = 152,675.23

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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.