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Finding the Fourth Proportional to 253,831.70, 350,287.72 and 140,654.44

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Solution

The fourth proportional to 253,831.70, 350,287.72 and 140,654.44 is: 194,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,831.70 : 350,287.72 = 140,654.44 : x
  2. Step 2: Convert to fraction form
    253,831.70/350,287.72 = 140,654.44/x
  3. Step 3: Cross multiply
    253,831.70x = 350,287.72 × 140,654.44
  4. Step 4: Simplify right side
    253,831.70x = 49,269,523,095.48
  5. Step 5: Solve for x
    x = 49,269,523,095.48/253,831.70
  6. Step 6: Final answer
    x = 194,103.11

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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.