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Finding the Fourth Proportional to 149,238.04, 205,948.02 and 82,170.04

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Solution

The fourth proportional to 149,238.04, 205,948.02 and 82,170.04 is: 113,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,238.04 : 205,948.02 = 82,170.04 : x
  2. Step 2: Convert to fraction form
    149,238.04/205,948.02 = 82,170.04/x
  3. Step 3: Cross multiply
    149,238.04x = 205,948.02 × 82,170.04
  4. Step 4: Simplify right side
    149,238.04x = 16,922,757,041.32
  5. Step 5: Solve for x
    x = 16,922,757,041.32/149,238.04
  6. Step 6: Final answer
    x = 113,394.39

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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.