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Finding the Fourth Proportional to 265,836.62, 398,754.94 and 78,846.50

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Solution

The fourth proportional to 265,836.62, 398,754.94 and 78,846.50 is: 118,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,836.62 : 398,754.94 = 78,846.50 : x
  2. Step 2: Convert to fraction form
    265,836.62/398,754.94 = 78,846.50/x
  3. Step 3: Cross multiply
    265,836.62x = 398,754.94 × 78,846.50
  4. Step 4: Simplify right side
    265,836.62x = 31,440,431,376.71
  5. Step 5: Solve for x
    x = 31,440,431,376.71/265,836.62
  6. Step 6: Final answer
    x = 118,269.75

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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.