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Finding the Fourth Proportional to 182,541, 251,906.58 and 103,053

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Solution

The fourth proportional to 182,541, 251,906.58 and 103,053 is: 142,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,541 : 251,906.58 = 103,053 : x
  2. Step 2: Convert to fraction form
    182,541/251,906.58 = 103,053/x
  3. Step 3: Cross multiply
    182,541x = 251,906.58 × 103,053
  4. Step 4: Simplify right side
    182,541x = 25,959,728,788.74
  5. Step 5: Solve for x
    x = 25,959,728,788.74/182,541
  6. Step 6: Final answer
    x = 142,213.14

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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.