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Finding the Fourth Proportional to 165,866, 248,837.88 and 55,058

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Solution

The fourth proportional to 165,866, 248,837.88 and 55,058 is: 82,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,866 : 248,837.88 = 55,058 : x
  2. Step 2: Convert to fraction form
    165,866/248,837.88 = 55,058/x
  3. Step 3: Cross multiply
    165,866x = 248,837.88 × 55,058
  4. Step 4: Simplify right side
    165,866x = 13,700,515,997.04
  5. Step 5: Solve for x
    x = 13,700,515,997.04/165,866
  6. Step 6: Final answer
    x = 82,599.91

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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.