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Finding the Fourth Proportional to 200,780.76, 301,104.78 and 67,627.96

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Solution

The fourth proportional to 200,780.76, 301,104.78 and 67,627.96 is: 101,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780.76 : 301,104.78 = 67,627.96 : x
  2. Step 2: Convert to fraction form
    200,780.76/301,104.78 = 67,627.96/x
  3. Step 3: Cross multiply
    200,780.76x = 301,104.78 × 67,627.96
  4. Step 4: Simplify right side
    200,780.76x = 20,363,102,017.65
  5. Step 5: Solve for x
    x = 20,363,102,017.65/200,780.76
  6. Step 6: Final answer
    x = 101,419.59

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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.