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Finding the Fourth Proportional to 182,851.52, 252,358.44 and 102,283.52

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Solution

The fourth proportional to 182,851.52, 252,358.44 and 102,283.52 is: 141,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,851.52 : 252,358.44 = 102,283.52 : x
  2. Step 2: Convert to fraction form
    182,851.52/252,358.44 = 102,283.52/x
  3. Step 3: Cross multiply
    182,851.52x = 252,358.44 × 102,283.52
  4. Step 4: Simplify right side
    182,851.52x = 25,812,109,544.91
  5. Step 5: Solve for x
    x = 25,812,109,544.91/182,851.52
  6. Step 6: Final answer
    x = 141,164.31

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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.