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Finding the Fourth Proportional to 137,536.40, 206,110.20 and 84,789.20

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Solution

The fourth proportional to 137,536.40, 206,110.20 and 84,789.20 is: 127,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,536.40 : 206,110.20 = 84,789.20 : x
  2. Step 2: Convert to fraction form
    137,536.40/206,110.20 = 84,789.20/x
  3. Step 3: Cross multiply
    137,536.40x = 206,110.20 × 84,789.20
  4. Step 4: Simplify right side
    137,536.40x = 17,475,918,969.84
  5. Step 5: Solve for x
    x = 17,475,918,969.84/137,536.40
  6. Step 6: Final answer
    x = 127,063.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.