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Finding the Fourth Proportional to 276,483.76, 414,711.06 and 136,195

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Solution

The fourth proportional to 276,483.76, 414,711.06 and 136,195 is: 204,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,483.76 : 414,711.06 = 136,195 : x
  2. Step 2: Convert to fraction form
    276,483.76/414,711.06 = 136,195/x
  3. Step 3: Cross multiply
    276,483.76x = 414,711.06 × 136,195
  4. Step 4: Simplify right side
    276,483.76x = 56,481,572,816.70
  5. Step 5: Solve for x
    x = 56,481,572,816.70/276,483.76
  6. Step 6: Final answer
    x = 204,285.32

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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.