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Finding the Fourth Proportional to 128,039.20, 191,943.60 and 83,687.20

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Solution

The fourth proportional to 128,039.20, 191,943.60 and 83,687.20 is: 125,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,039.20 : 191,943.60 = 83,687.20 : x
  2. Step 2: Convert to fraction form
    128,039.20/191,943.60 = 83,687.20/x
  3. Step 3: Cross multiply
    128,039.20x = 191,943.60 × 83,687.20
  4. Step 4: Simplify right side
    128,039.20x = 16,063,222,441.92
  5. Step 5: Solve for x
    x = 16,063,222,441.92/128,039.20
  6. Step 6: Final answer
    x = 125,455.50

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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.