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Finding the Fourth Proportional to 149,106.88, 205,767.49 and 82,038.88

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Solution

The fourth proportional to 149,106.88, 205,767.49 and 82,038.88 is: 113,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,106.88 : 205,767.49 = 82,038.88 : x
  2. Step 2: Convert to fraction form
    149,106.88/205,767.49 = 82,038.88/x
  3. Step 3: Cross multiply
    149,106.88x = 205,767.49 × 82,038.88
  4. Step 4: Simplify right side
    149,106.88x = 16,880,933,391.17
  5. Step 5: Solve for x
    x = 16,880,933,391.17/149,106.88
  6. Step 6: Final answer
    x = 113,213.65

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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.