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Finding the Fourth Proportional to 182,850.52, 252,357.06 and 102,282.52

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Solution

The fourth proportional to 182,850.52, 252,357.06 and 102,282.52 is: 141,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,850.52 : 252,357.06 = 102,282.52 : x
  2. Step 2: Convert to fraction form
    182,850.52/252,357.06 = 102,282.52/x
  3. Step 3: Cross multiply
    182,850.52x = 252,357.06 × 102,282.52
  4. Step 4: Simplify right side
    182,850.52x = 25,811,716,036.59
  5. Step 5: Solve for x
    x = 25,811,716,036.59/182,850.52
  6. Step 6: Final answer
    x = 141,162.93

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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.