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Finding the Fourth Proportional to 295,963.56, 444,011.09 and 138,105.90

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Solution

The fourth proportional to 295,963.56, 444,011.09 and 138,105.90 is: 207,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,963.56 : 444,011.09 = 138,105.90 : x
  2. Step 2: Convert to fraction form
    295,963.56/444,011.09 = 138,105.90/x
  3. Step 3: Cross multiply
    295,963.56x = 444,011.09 × 138,105.90
  4. Step 4: Simplify right side
    295,963.56x = 61,320,550,503.90
  5. Step 5: Solve for x
    x = 61,320,550,503.90/295,963.56
  6. Step 6: Final answer
    x = 207,189.53

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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.