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Finding the Fourth Proportional to 260,783.90, 391,175.85 and 142,390.65

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Solution

The fourth proportional to 260,783.90, 391,175.85 and 142,390.65 is: 213,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,783.90 : 391,175.85 = 142,390.65 : x
  2. Step 2: Convert to fraction form
    260,783.90/391,175.85 = 142,390.65/x
  3. Step 3: Cross multiply
    260,783.90x = 391,175.85 × 142,390.65
  4. Step 4: Simplify right side
    260,783.90x = 55,699,785,546.68
  5. Step 5: Solve for x
    x = 55,699,785,546.68/260,783.90
  6. Step 6: Final answer
    x = 213,585.98

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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.