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Finding the Fourth Proportional to 182,894.29, 252,391.89 and 102,321.57

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Solution

The fourth proportional to 182,894.29, 252,391.89 and 102,321.57 is: 141,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,894.29 : 252,391.89 = 102,321.57 : x
  2. Step 2: Convert to fraction form
    182,894.29/252,391.89 = 102,321.57/x
  3. Step 3: Cross multiply
    182,894.29x = 252,391.89 × 102,321.57
  4. Step 4: Simplify right side
    182,894.29x = 25,825,134,440.07
  5. Step 5: Solve for x
    x = 25,825,134,440.07/182,894.29
  6. Step 6: Final answer
    x = 141,202.52

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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.