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Finding the Fourth Proportional to 362,077.20, 543,310.20 and 151,736.40

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Solution

The fourth proportional to 362,077.20, 543,310.20 and 151,736.40 is: 227,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,077.20 : 543,310.20 = 151,736.40 : x
  2. Step 2: Convert to fraction form
    362,077.20/543,310.20 = 151,736.40/x
  3. Step 3: Cross multiply
    362,077.20x = 543,310.20 × 151,736.40
  4. Step 4: Simplify right side
    362,077.20x = 82,439,933,831.28
  5. Step 5: Solve for x
    x = 82,439,933,831.28/362,077.20
  6. Step 6: Final answer
    x = 227,686.07

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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.