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Finding the Fourth Proportional to 276,073.20, 414,109.80 and 164,098.80

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Solution

The fourth proportional to 276,073.20, 414,109.80 and 164,098.80 is: 246,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,073.20 : 414,109.80 = 164,098.80 : x
  2. Step 2: Convert to fraction form
    276,073.20/414,109.80 = 164,098.80/x
  3. Step 3: Cross multiply
    276,073.20x = 414,109.80 × 164,098.80
  4. Step 4: Simplify right side
    276,073.20x = 67,954,921,248.24
  5. Step 5: Solve for x
    x = 67,954,921,248.24/276,073.20
  6. Step 6: Final answer
    x = 246,148.20

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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.