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Finding the Fourth Proportional to 276,015.84, 414,023.82 and 89,027.40

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Solution

The fourth proportional to 276,015.84, 414,023.82 and 89,027.40 is: 133,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,015.84 : 414,023.82 = 89,027.40 : x
  2. Step 2: Convert to fraction form
    276,015.84/414,023.82 = 89,027.40/x
  3. Step 3: Cross multiply
    276,015.84x = 414,023.82 × 89,027.40
  4. Step 4: Simplify right side
    276,015.84x = 36,859,464,232.67
  5. Step 5: Solve for x
    x = 36,859,464,232.67/276,015.84
  6. Step 6: Final answer
    x = 133,541.12

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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.