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Finding the Fourth Proportional to 214,831.20, 322,246.80 and 165,007.20

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Solution

The fourth proportional to 214,831.20, 322,246.80 and 165,007.20 is: 247,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,831.20 : 322,246.80 = 165,007.20 : x
  2. Step 2: Convert to fraction form
    214,831.20/322,246.80 = 165,007.20/x
  3. Step 3: Cross multiply
    214,831.20x = 322,246.80 × 165,007.20
  4. Step 4: Simplify right side
    214,831.20x = 53,173,042,176.96
  5. Step 5: Solve for x
    x = 53,173,042,176.96/214,831.20
  6. Step 6: Final answer
    x = 247,510.80

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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.