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Finding the Fourth Proportional to 295,961.31, 444,007.71 and 138,103.65

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Solution

The fourth proportional to 295,961.31, 444,007.71 and 138,103.65 is: 207,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,961.31 : 444,007.71 = 138,103.65 : x
  2. Step 2: Convert to fraction form
    295,961.31/444,007.71 = 138,103.65/x
  3. Step 3: Cross multiply
    295,961.31x = 444,007.71 × 138,103.65
  4. Step 4: Simplify right side
    295,961.31x = 61,319,085,379.14
  5. Step 5: Solve for x
    x = 61,319,085,379.14/295,961.31
  6. Step 6: Final answer
    x = 207,186.15

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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.