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Finding the Fourth Proportional to 227,724.95, 341,213.56 and 77,883.50

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Solution

The fourth proportional to 227,724.95, 341,213.56 and 77,883.50 is: 116,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,724.95 : 341,213.56 = 77,883.50 : x
  2. Step 2: Convert to fraction form
    227,724.95/341,213.56 = 77,883.50/x
  3. Step 3: Cross multiply
    227,724.95x = 341,213.56 × 77,883.50
  4. Step 4: Simplify right side
    227,724.95x = 26,574,906,958.59
  5. Step 5: Solve for x
    x = 26,574,906,958.59/227,724.95
  6. Step 6: Final answer
    x = 116,697.39

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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.