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Finding the Fourth Proportional to 106,077.20, 159,112.20 and 27,192.20

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Solution

The fourth proportional to 106,077.20, 159,112.20 and 27,192.20 is: 40,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,077.20 : 159,112.20 = 27,192.20 : x
  2. Step 2: Convert to fraction form
    106,077.20/159,112.20 = 27,192.20/x
  3. Step 3: Cross multiply
    106,077.20x = 159,112.20 × 27,192.20
  4. Step 4: Simplify right side
    106,077.20x = 4,326,610,764.84
  5. Step 5: Solve for x
    x = 4,326,610,764.84/106,077.20
  6. Step 6: Final answer
    x = 40,787.38

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1.5x scale

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.