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Finding the Fourth Proportional to 295,967.12, 444,016.41 and 138,109.46

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Solution

The fourth proportional to 295,967.12, 444,016.41 and 138,109.46 is: 207,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,967.12 : 444,016.41 = 138,109.46 : x
  2. Step 2: Convert to fraction form
    295,967.12/444,016.41 = 138,109.46/x
  3. Step 3: Cross multiply
    295,967.12x = 444,016.41 × 138,109.46
  4. Step 4: Simplify right side
    295,967.12x = 61,322,864,396.16
  5. Step 5: Solve for x
    x = 61,322,864,396.16/295,967.12
  6. Step 6: Final answer
    x = 207,194.86

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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.