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Finding the Fourth Proportional to 278,668.91, 384,586.81 and 157,831.69

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Solution

The fourth proportional to 278,668.91, 384,586.81 and 157,831.69 is: 217,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,668.91 : 384,586.81 = 157,831.69 : x
  2. Step 2: Convert to fraction form
    278,668.91/384,586.81 = 157,831.69/x
  3. Step 3: Cross multiply
    278,668.91x = 384,586.81 × 157,831.69
  4. Step 4: Simplify right side
    278,668.91x = 60,699,986,852.03
  5. Step 5: Solve for x
    x = 60,699,986,852.03/278,668.91
  6. Step 6: Final answer
    x = 217,821.17

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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.