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Finding the Fourth Proportional to 270,319.14, 373,025.36 and 149,453.38

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Solution

The fourth proportional to 270,319.14, 373,025.36 and 149,453.38 is: 206,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,319.14 : 373,025.36 = 149,453.38 : x
  2. Step 2: Convert to fraction form
    270,319.14/373,025.36 = 149,453.38/x
  3. Step 3: Cross multiply
    270,319.14x = 373,025.36 × 149,453.38
  4. Step 4: Simplify right side
    270,319.14x = 55,749,900,877.72
  5. Step 5: Solve for x
    x = 55,749,900,877.72/270,319.14
  6. Step 6: Final answer
    x = 206,237.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.