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Finding the Fourth Proportional to 225,434.65, 338,203.81 and 67,666.09

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Solution

The fourth proportional to 225,434.65, 338,203.81 and 67,666.09 is: 101,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,434.65 : 338,203.81 = 67,666.09 : x
  2. Step 2: Convert to fraction form
    225,434.65/338,203.81 = 67,666.09/x
  3. Step 3: Cross multiply
    225,434.65x = 338,203.81 × 67,666.09
  4. Step 4: Simplify right side
    225,434.65x = 22,884,929,445.80
  5. Step 5: Solve for x
    x = 22,884,929,445.80/225,434.65
  6. Step 6: Final answer
    x = 101,514.69

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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.