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Finding the Fourth Proportional to 238,105.14, 357,116.64 and 67,338.78

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Solution

The fourth proportional to 238,105.14, 357,116.64 and 67,338.78 is: 100,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,105.14 : 357,116.64 = 67,338.78 : x
  2. Step 2: Convert to fraction form
    238,105.14/357,116.64 = 67,338.78/x
  3. Step 3: Cross multiply
    238,105.14x = 357,116.64 × 67,338.78
  4. Step 4: Simplify right side
    238,105.14x = 24,047,798,855.30
  5. Step 5: Solve for x
    x = 24,047,798,855.30/238,105.14
  6. Step 6: Final answer
    x = 100,996.55

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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.