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Finding the Fourth Proportional to 270,253.24, 372,947.01 and 149,397.59

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Solution

The fourth proportional to 270,253.24, 372,947.01 and 149,397.59 is: 206,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,253.24 : 372,947.01 = 149,397.59 : x
  2. Step 2: Convert to fraction form
    270,253.24/372,947.01 = 149,397.59/x
  3. Step 3: Cross multiply
    270,253.24x = 372,947.01 × 149,397.59
  4. Step 4: Simplify right side
    270,253.24x = 55,717,384,491.71
  5. Step 5: Solve for x
    x = 55,717,384,491.71/270,253.24
  6. Step 6: Final answer
    x = 206,167.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.