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Finding the Fourth Proportional to 199,546.98, 299,370.15 and 59,301.78

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Solution

The fourth proportional to 199,546.98, 299,370.15 and 59,301.78 is: 88,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,546.98 : 299,370.15 = 59,301.78 : x
  2. Step 2: Convert to fraction form
    199,546.98/299,370.15 = 59,301.78/x
  3. Step 3: Cross multiply
    199,546.98x = 299,370.15 × 59,301.78
  4. Step 4: Simplify right side
    199,546.98x = 17,753,182,773.87
  5. Step 5: Solve for x
    x = 17,753,182,773.87/199,546.98
  6. Step 6: Final answer
    x = 88,967.43

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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.