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Finding the Fourth Proportional to 195,876, 293,840.14 and 77,519.66

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Solution

The fourth proportional to 195,876, 293,840.14 and 77,519.66 is: 116,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,876 : 293,840.14 = 77,519.66 : x
  2. Step 2: Convert to fraction form
    195,876/293,840.14 = 77,519.66/x
  3. Step 3: Cross multiply
    195,876x = 293,840.14 × 77,519.66
  4. Step 4: Simplify right side
    195,876x = 22,778,388,287.95
  5. Step 5: Solve for x
    x = 22,778,388,287.95/195,876
  6. Step 6: Final answer
    x = 116,289.84

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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.