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Finding the Fourth Proportional to 333,108.80, 459,686.40 and 182,204

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Solution

The fourth proportional to 333,108.80, 459,686.40 and 182,204 is: 251,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,108.80 : 459,686.40 = 182,204 : x
  2. Step 2: Convert to fraction form
    333,108.80/459,686.40 = 182,204/x
  3. Step 3: Cross multiply
    333,108.80x = 459,686.40 × 182,204
  4. Step 4: Simplify right side
    333,108.80x = 83,756,700,825.60
  5. Step 5: Solve for x
    x = 83,756,700,825.60/333,108.80
  6. Step 6: Final answer
    x = 251,439.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.