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Finding the Fourth Proportional to 276,031.80, 413,425.62 and 164,990.52

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Solution

The fourth proportional to 276,031.80, 413,425.62 and 164,990.52 is: 247,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,031.80 : 413,425.62 = 164,990.52 : x
  2. Step 2: Convert to fraction form
    276,031.80/413,425.62 = 164,990.52/x
  3. Step 3: Cross multiply
    276,031.80x = 413,425.62 × 164,990.52
  4. Step 4: Simplify right side
    276,031.80x = 68,211,308,025.12
  5. Step 5: Solve for x
    x = 68,211,308,025.12/276,031.80
  6. Step 6: Final answer
    x = 247,113.95

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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.