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Finding the Fourth Proportional to 278,668.35, 384,586.03 and 157,831.13

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Solution

The fourth proportional to 278,668.35, 384,586.03 and 157,831.13 is: 217,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,668.35 : 384,586.03 = 157,831.13 : x
  2. Step 2: Convert to fraction form
    278,668.35/384,586.03 = 157,831.13/x
  3. Step 3: Cross multiply
    278,668.35x = 384,586.03 × 157,831.13
  4. Step 4: Simplify right side
    278,668.35x = 60,699,647,295.91
  5. Step 5: Solve for x
    x = 60,699,647,295.91/278,668.35
  6. Step 6: Final answer
    x = 217,820.39

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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.