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Finding the Fourth Proportional to 90,996.40, 136,494.60 and 82,831.60

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Solution

The fourth proportional to 90,996.40, 136,494.60 and 82,831.60 is: 124,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,996.40 : 136,494.60 = 82,831.60 : x
  2. Step 2: Convert to fraction form
    90,996.40/136,494.60 = 82,831.60/x
  3. Step 3: Cross multiply
    90,996.40x = 136,494.60 × 82,831.60
  4. Step 4: Simplify right side
    90,996.40x = 11,306,066,109.36
  5. Step 5: Solve for x
    x = 11,306,066,109.36/90,996.40
  6. Step 6: Final answer
    x = 124,247.40

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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.