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Finding the Fourth Proportional to 185,589.77, 278,381.18 and 59,229

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Solution

The fourth proportional to 185,589.77, 278,381.18 and 59,229 is: 88,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,589.77 : 278,381.18 = 59,229 : x
  2. Step 2: Convert to fraction form
    185,589.77/278,381.18 = 59,229/x
  3. Step 3: Cross multiply
    185,589.77x = 278,381.18 × 59,229
  4. Step 4: Simplify right side
    185,589.77x = 16,488,239,058.29
  5. Step 5: Solve for x
    x = 16,488,239,058.29/185,589.77
  6. Step 6: Final answer
    x = 88,842.39

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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.