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Finding the Fourth Proportional to 262,139.96, 361,749.69 and 147,418.57

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Solution

The fourth proportional to 262,139.96, 361,749.69 and 147,418.57 is: 203,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,139.96 : 361,749.69 = 147,418.57 : x
  2. Step 2: Convert to fraction form
    262,139.96/361,749.69 = 147,418.57/x
  3. Step 3: Cross multiply
    262,139.96x = 361,749.69 × 147,418.57
  4. Step 4: Simplify right side
    262,139.96x = 53,328,623,002.75
  5. Step 5: Solve for x
    x = 53,328,623,002.75/262,139.96
  6. Step 6: Final answer
    x = 203,435.69

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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.