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Finding the Fourth Proportional to 111,013.40, 166,520.10 and 54,831.80

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Solution

The fourth proportional to 111,013.40, 166,520.10 and 54,831.80 is: 82,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,013.40 : 166,520.10 = 54,831.80 : x
  2. Step 2: Convert to fraction form
    111,013.40/166,520.10 = 54,831.80/x
  3. Step 3: Cross multiply
    111,013.40x = 166,520.10 × 54,831.80
  4. Step 4: Simplify right side
    111,013.40x = 9,130,596,819.18
  5. Step 5: Solve for x
    x = 9,130,596,819.18/111,013.40
  6. Step 6: Final answer
    x = 82,247.70

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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.