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Finding the Fourth Proportional to 276,036.67, 414,142.49 and 98,539.75

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Solution

The fourth proportional to 276,036.67, 414,142.49 and 98,539.75 is: 147,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,036.67 : 414,142.49 = 98,539.75 : x
  2. Step 2: Convert to fraction form
    276,036.67/414,142.49 = 98,539.75/x
  3. Step 3: Cross multiply
    276,036.67x = 414,142.49 × 98,539.75
  4. Step 4: Simplify right side
    276,036.67x = 40,809,497,428.98
  5. Step 5: Solve for x
    x = 40,809,497,428.98/276,036.67
  6. Step 6: Final answer
    x = 147,840.86

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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.