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Finding the Fourth Proportional to 136,201.80, 204,306.30 and 42,709.80

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Solution

The fourth proportional to 136,201.80, 204,306.30 and 42,709.80 is: 64,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,201.80 : 204,306.30 = 42,709.80 : x
  2. Step 2: Convert to fraction form
    136,201.80/204,306.30 = 42,709.80/x
  3. Step 3: Cross multiply
    136,201.80x = 204,306.30 × 42,709.80
  4. Step 4: Simplify right side
    136,201.80x = 8,725,881,211.74
  5. Step 5: Solve for x
    x = 8,725,881,211.74/136,201.80
  6. Step 6: Final answer
    x = 64,065.83

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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.