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Finding the Fourth Proportional to 205,747.85, 308,648.06 and 79,424.24

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Solution

The fourth proportional to 205,747.85, 308,648.06 and 79,424.24 is: 119,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,747.85 : 308,648.06 = 79,424.24 : x
  2. Step 2: Convert to fraction form
    205,747.85/308,648.06 = 79,424.24/x
  3. Step 3: Cross multiply
    205,747.85x = 308,648.06 × 79,424.24
  4. Step 4: Simplify right side
    205,747.85x = 24,514,135,950.45
  5. Step 5: Solve for x
    x = 24,514,135,950.45/205,747.85
  6. Step 6: Final answer
    x = 119,146.50

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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.