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Finding the Fourth Proportional to 123,394.86, 185,098.77 and 39,161.48

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Solution

The fourth proportional to 123,394.86, 185,098.77 and 39,161.48 is: 58,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,394.86 : 185,098.77 = 39,161.48 : x
  2. Step 2: Convert to fraction form
    123,394.86/185,098.77 = 39,161.48/x
  3. Step 3: Cross multiply
    123,394.86x = 185,098.77 × 39,161.48
  4. Step 4: Simplify right side
    123,394.86x = 7,248,740,853.89
  5. Step 5: Solve for x
    x = 7,248,740,853.89/123,394.86
  6. Step 6: Final answer
    x = 58,744.27

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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.