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Finding the Fourth Proportional to 136,819.76, 205,261.54 and 46,863.44

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Solution

The fourth proportional to 136,819.76, 205,261.54 and 46,863.44 is: 70,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,819.76 : 205,261.54 = 46,863.44 : x
  2. Step 2: Convert to fraction form
    136,819.76/205,261.54 = 46,863.44/x
  3. Step 3: Cross multiply
    136,819.76x = 205,261.54 × 46,863.44
  4. Step 4: Simplify right side
    136,819.76x = 9,619,262,260.09
  5. Step 5: Solve for x
    x = 9,619,262,260.09/136,819.76
  6. Step 6: Final answer
    x = 70,306.09

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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.