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Finding the Fourth Proportional to 182,913.44, 252,430.36 and 102,336.16

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Solution

The fourth proportional to 182,913.44, 252,430.36 and 102,336.16 is: 141,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,913.44 : 252,430.36 = 102,336.16 : x
  2. Step 2: Convert to fraction form
    182,913.44/252,430.36 = 102,336.16/x
  3. Step 3: Cross multiply
    182,913.44x = 252,430.36 × 102,336.16
  4. Step 4: Simplify right side
    182,913.44x = 25,832,753,709.82
  5. Step 5: Solve for x
    x = 25,832,753,709.82/182,913.44
  6. Step 6: Final answer
    x = 141,229.39

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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.