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Finding the Fourth Proportional to 101,304.60, 151,978.74 and 54,546.60

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Solution

The fourth proportional to 101,304.60, 151,978.74 and 54,546.60 is: 81,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,304.60 : 151,978.74 = 54,546.60 : x
  2. Step 2: Convert to fraction form
    101,304.60/151,978.74 = 54,546.60/x
  3. Step 3: Cross multiply
    101,304.60x = 151,978.74 × 54,546.60
  4. Step 4: Simplify right side
    101,304.60x = 8,289,923,539.28
  5. Step 5: Solve for x
    x = 8,289,923,539.28/101,304.60
  6. Step 6: Final answer
    x = 81,831.66

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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.