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Finding the Fourth Proportional to 149,147.14, 205,822.98 and 82,079.14

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Solution

The fourth proportional to 149,147.14, 205,822.98 and 82,079.14 is: 113,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,147.14 : 205,822.98 = 82,079.14 : x
  2. Step 2: Convert to fraction form
    149,147.14/205,822.98 = 82,079.14/x
  3. Step 3: Cross multiply
    149,147.14x = 205,822.98 × 82,079.14
  4. Step 4: Simplify right side
    149,147.14x = 16,893,773,190.64
  5. Step 5: Solve for x
    x = 16,893,773,190.64/149,147.14
  6. Step 6: Final answer
    x = 113,269.17

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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.