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Finding the Fourth Proportional to 227,412.48, 313,831.68 and 126,812.16

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Solution

The fourth proportional to 227,412.48, 313,831.68 and 126,812.16 is: 175,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,412.48 : 313,831.68 = 126,812.16 : x
  2. Step 2: Convert to fraction form
    227,412.48/313,831.68 = 126,812.16/x
  3. Step 3: Cross multiply
    227,412.48x = 313,831.68 × 126,812.16
  4. Step 4: Simplify right side
    227,412.48x = 39,797,673,217.23
  5. Step 5: Solve for x
    x = 39,797,673,217.23/227,412.48
  6. Step 6: Final answer
    x = 175,002.15

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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.