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Finding the Fourth Proportional to 195,227.74, 292,914.50 and 76,981.50

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Solution

The fourth proportional to 195,227.74, 292,914.50 and 76,981.50 is: 115,500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,227.74 : 292,914.50 = 76,981.50 : x
  2. Step 2: Convert to fraction form
    195,227.74/292,914.50 = 76,981.50/x
  3. Step 3: Cross multiply
    195,227.74x = 292,914.50 × 76,981.50
  4. Step 4: Simplify right side
    195,227.74x = 22,548,997,581.75
  5. Step 5: Solve for x
    x = 22,548,997,581.75/195,227.74
  6. Step 6: Final answer
    x = 115,500.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.