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Finding the Fourth Proportional to 293,097.20, 439,645.80 and 71,481.20

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Solution

The fourth proportional to 293,097.20, 439,645.80 and 71,481.20 is: 107,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,097.20 : 439,645.80 = 71,481.20 : x
  2. Step 2: Convert to fraction form
    293,097.20/439,645.80 = 71,481.20/x
  3. Step 3: Cross multiply
    293,097.20x = 439,645.80 × 71,481.20
  4. Step 4: Simplify right side
    293,097.20x = 31,426,409,358.96
  5. Step 5: Solve for x
    x = 31,426,409,358.96/293,097.20
  6. Step 6: Final answer
    x = 107,221.80

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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.