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Finding the Fourth Proportional to 322,008.21, 482,475.01 and 141,825.33

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Solution

The fourth proportional to 322,008.21, 482,475.01 and 141,825.33 is: 212,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,008.21 : 482,475.01 = 141,825.33 : x
  2. Step 2: Convert to fraction form
    322,008.21/482,475.01 = 141,825.33/x
  3. Step 3: Cross multiply
    322,008.21x = 482,475.01 × 141,825.33
  4. Step 4: Simplify right side
    322,008.21x = 68,427,177,510.00
  5. Step 5: Solve for x
    x = 68,427,177,510.00/322,008.21
  6. Step 6: Final answer
    x = 212,501.34

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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.