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Finding the Fourth Proportional to 270,211.11, 405,254.97 and 101,749.20

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Solution

The fourth proportional to 270,211.11, 405,254.97 and 101,749.20 is: 152,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,211.11 : 405,254.97 = 101,749.20 : x
  2. Step 2: Convert to fraction form
    270,211.11/405,254.97 = 101,749.20/x
  3. Step 3: Cross multiply
    270,211.11x = 405,254.97 × 101,749.20
  4. Step 4: Simplify right side
    270,211.11x = 41,234,368,993.52
  5. Step 5: Solve for x
    x = 41,234,368,993.52/270,211.11
  6. Step 6: Final answer
    x = 152,600.57

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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.