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Finding the Fourth Proportional to 226,765.38, 312,831.52 and 146,218.78

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Solution

The fourth proportional to 226,765.38, 312,831.52 and 146,218.78 is: 201,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,765.38 : 312,831.52 = 146,218.78 : x
  2. Step 2: Convert to fraction form
    226,765.38/312,831.52 = 146,218.78/x
  3. Step 3: Cross multiply
    226,765.38x = 312,831.52 × 146,218.78
  4. Step 4: Simplify right side
    226,765.38x = 45,741,840,904.69
  5. Step 5: Solve for x
    x = 45,741,840,904.69/226,765.38
  6. Step 6: Final answer
    x = 201,714.39

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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.