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Finding the Fourth Proportional to 204,064.38, 306,100.08 and 70,948.98

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Solution

The fourth proportional to 204,064.38, 306,100.08 and 70,948.98 is: 106,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,064.38 : 306,100.08 = 70,948.98 : x
  2. Step 2: Convert to fraction form
    204,064.38/306,100.08 = 70,948.98/x
  3. Step 3: Cross multiply
    204,064.38x = 306,100.08 × 70,948.98
  4. Step 4: Simplify right side
    204,064.38x = 21,717,488,453.92
  5. Step 5: Solve for x
    x = 21,717,488,453.92/204,064.38
  6. Step 6: Final answer
    x = 106,424.69

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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.