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Finding the Fourth Proportional to 208,420.54, 313,049.31 and 124,344.97

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Solution

The fourth proportional to 208,420.54, 313,049.31 and 124,344.97 is: 186,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,420.54 : 313,049.31 = 124,344.97 : x
  2. Step 2: Convert to fraction form
    208,420.54/313,049.31 = 124,344.97/x
  3. Step 3: Cross multiply
    208,420.54x = 313,049.31 × 124,344.97
  4. Step 4: Simplify right side
    208,420.54x = 38,926,107,572.46
  5. Step 5: Solve for x
    x = 38,926,107,572.46/208,420.54
  6. Step 6: Final answer
    x = 186,767.13

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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.