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Finding the Fourth Proportional to 276,535.92, 414,864.36 and 89,566.32

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Solution

The fourth proportional to 276,535.92, 414,864.36 and 89,566.32 is: 134,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,535.92 : 414,864.36 = 89,566.32 : x
  2. Step 2: Convert to fraction form
    276,535.92/414,864.36 = 89,566.32/x
  3. Step 3: Cross multiply
    276,535.92x = 414,864.36 × 89,566.32
  4. Step 4: Simplify right side
    276,535.92x = 37,157,874,024.36
  5. Step 5: Solve for x
    x = 37,157,874,024.36/276,535.92
  6. Step 6: Final answer
    x = 134,369.07

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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.