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Finding the Fourth Proportional to 149,377.56, 206,002.56 and 109,027.41

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Solution

The fourth proportional to 149,377.56, 206,002.56 and 109,027.41 is: 150,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,377.56 : 206,002.56 = 109,027.41 : x
  2. Step 2: Convert to fraction form
    149,377.56/206,002.56 = 109,027.41/x
  3. Step 3: Cross multiply
    149,377.56x = 206,002.56 × 109,027.41
  4. Step 4: Simplify right side
    149,377.56x = 22,459,925,570.17
  5. Step 5: Solve for x
    x = 22,459,925,570.17/149,377.56
  6. Step 6: Final answer
    x = 150,356.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.