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Finding the Fourth Proportional to 149,394, 206,168.12 and 82,330.32

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Solution

The fourth proportional to 149,394, 206,168.12 and 82,330.32 is: 113,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,394 : 206,168.12 = 82,330.32 : x
  2. Step 2: Convert to fraction form
    149,394/206,168.12 = 82,330.32/x
  3. Step 3: Cross multiply
    149,394x = 206,168.12 × 82,330.32
  4. Step 4: Simplify right side
    149,394x = 16,973,887,293.40
  5. Step 5: Solve for x
    x = 16,973,887,293.40/149,394
  6. Step 6: Final answer
    x = 113,618.27

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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.