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Finding the Fourth Proportional to 276,532.92, 414,859.86 and 89,563.32

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Solution

The fourth proportional to 276,532.92, 414,859.86 and 89,563.32 is: 134,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,532.92 : 414,859.86 = 89,563.32 : x
  2. Step 2: Convert to fraction form
    276,532.92/414,859.86 = 89,563.32/x
  3. Step 3: Cross multiply
    276,532.92x = 414,859.86 × 89,563.32
  4. Step 4: Simplify right side
    276,532.92x = 37,156,226,396.34
  5. Step 5: Solve for x
    x = 37,156,226,396.34/276,532.92
  6. Step 6: Final answer
    x = 134,364.57

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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.