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Finding the Fourth Proportional to 322,802, 484,280.76 and 101,186

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Solution

The fourth proportional to 322,802, 484,280.76 and 101,186 is: 151,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,802 : 484,280.76 = 101,186 : x
  2. Step 2: Convert to fraction form
    322,802/484,280.76 = 101,186/x
  3. Step 3: Cross multiply
    322,802x = 484,280.76 × 101,186
  4. Step 4: Simplify right side
    322,802x = 49,002,432,981.36
  5. Step 5: Solve for x
    x = 49,002,432,981.36/322,802
  6. Step 6: Final answer
    x = 151,803.37

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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.