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Finding the Fourth Proportional to 149,307.14, 206,043.84 and 82,239.14

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Solution

The fourth proportional to 149,307.14, 206,043.84 and 82,239.14 is: 113,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,307.14 : 206,043.84 = 82,239.14 : x
  2. Step 2: Convert to fraction form
    149,307.14/206,043.84 = 82,239.14/x
  3. Step 3: Cross multiply
    149,307.14x = 206,043.84 × 82,239.14
  4. Step 4: Simplify right side
    149,307.14x = 16,944,868,203.90
  5. Step 5: Solve for x
    x = 16,944,868,203.90/149,307.14
  6. Step 6: Final answer
    x = 113,490.01

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