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Finding the Fourth Proportional to 275,016.32, 412,642.13 and 115,129.61

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Solution

The fourth proportional to 275,016.32, 412,642.13 and 115,129.61 is: 172,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,016.32 : 412,642.13 = 115,129.61 : x
  2. Step 2: Convert to fraction form
    275,016.32/412,642.13 = 115,129.61/x
  3. Step 3: Cross multiply
    275,016.32x = 412,642.13 × 115,129.61
  4. Step 4: Simplify right side
    275,016.32x = 47,507,327,496.47
  5. Step 5: Solve for x
    x = 47,507,327,496.47/275,016.32
  6. Step 6: Final answer
    x = 172,743.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.