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Finding the Fourth Proportional to 136,002.70, 204,071.10 and 61,175.80

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Solution

The fourth proportional to 136,002.70, 204,071.10 and 61,175.80 is: 91,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,002.70 : 204,071.10 = 61,175.80 : x
  2. Step 2: Convert to fraction form
    136,002.70/204,071.10 = 61,175.80/x
  3. Step 3: Cross multiply
    136,002.70x = 204,071.10 × 61,175.80
  4. Step 4: Simplify right side
    136,002.70x = 12,484,212,799.38
  5. Step 5: Solve for x
    x = 12,484,212,799.38/136,002.70
  6. Step 6: Final answer
    x = 91,793.86

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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.