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Finding the Fourth Proportional to 362,813.82, 544,226.16 and 138,186.66

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Solution

The fourth proportional to 362,813.82, 544,226.16 and 138,186.66 is: 207,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,813.82 : 544,226.16 = 138,186.66 : x
  2. Step 2: Convert to fraction form
    362,813.82/544,226.16 = 138,186.66/x
  3. Step 3: Cross multiply
    362,813.82x = 544,226.16 × 138,186.66
  4. Step 4: Simplify right side
    362,813.82x = 75,204,795,335.03
  5. Step 5: Solve for x
    x = 75,204,795,335.03/362,813.82
  6. Step 6: Final answer
    x = 207,282.06

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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.