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Finding the Fourth Proportional to 295,967.31, 444,016.71 and 138,109.65

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Solution

The fourth proportional to 295,967.31, 444,016.71 and 138,109.65 is: 207,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,967.31 : 444,016.71 = 138,109.65 : x
  2. Step 2: Convert to fraction form
    295,967.31/444,016.71 = 138,109.65/x
  3. Step 3: Cross multiply
    295,967.31x = 444,016.71 × 138,109.65
  4. Step 4: Simplify right side
    295,967.31x = 61,322,992,412.25
  5. Step 5: Solve for x
    x = 61,322,992,412.25/295,967.31
  6. Step 6: Final answer
    x = 207,195.15

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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.