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Finding the Fourth Proportional to 182,127.44, 251,360.52 and 106,706

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Solution

The fourth proportional to 182,127.44, 251,360.52 and 106,706 is: 147,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,127.44 : 251,360.52 = 106,706 : x
  2. Step 2: Convert to fraction form
    182,127.44/251,360.52 = 106,706/x
  3. Step 3: Cross multiply
    182,127.44x = 251,360.52 × 106,706
  4. Step 4: Simplify right side
    182,127.44x = 26,821,675,647.12
  5. Step 5: Solve for x
    x = 26,821,675,647.12/182,127.44
  6. Step 6: Final answer
    x = 147,268.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.