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Finding the Fourth Proportional to 182,655.72, 252,059.76 and 102,083.52

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Solution

The fourth proportional to 182,655.72, 252,059.76 and 102,083.52 is: 140,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,655.72 : 252,059.76 = 102,083.52 : x
  2. Step 2: Convert to fraction form
    182,655.72/252,059.76 = 102,083.52/x
  3. Step 3: Cross multiply
    182,655.72x = 252,059.76 × 102,083.52
  4. Step 4: Simplify right side
    182,655.72x = 25,731,147,551.16
  5. Step 5: Solve for x
    x = 25,731,147,551.16/182,655.72
  6. Step 6: Final answer
    x = 140,872.39

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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.