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Finding the Fourth Proportional to 182,412, 251,728.56 and 102,924

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Solution

The fourth proportional to 182,412, 251,728.56 and 102,924 is: 142,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,412 : 251,728.56 = 102,924 : x
  2. Step 2: Convert to fraction form
    182,412/251,728.56 = 102,924/x
  3. Step 3: Cross multiply
    182,412x = 251,728.56 × 102,924
  4. Step 4: Simplify right side
    182,412x = 25,908,910,309.44
  5. Step 5: Solve for x
    x = 25,908,910,309.44/182,412
  6. Step 6: Final answer
    x = 142,035.12

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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.