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Finding the Fourth Proportional to 185,892, 278,837.41 and 52,772.34

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Solution

The fourth proportional to 185,892, 278,837.41 and 52,772.34 is: 79,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892 : 278,837.41 = 52,772.34 : x
  2. Step 2: Convert to fraction form
    185,892/278,837.41 = 52,772.34/x
  3. Step 3: Cross multiply
    185,892x = 278,837.41 × 52,772.34
  4. Step 4: Simplify right side
    185,892x = 14,714,902,605.24
  5. Step 5: Solve for x
    x = 14,714,902,605.24/185,892
  6. Step 6: Final answer
    x = 79,158.34

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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.