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Finding the Fourth Proportional to 182,410.92, 273,711.12 and 138,024.48

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Solution

The fourth proportional to 182,410.92, 273,711.12 and 138,024.48 is: 207,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,410.92 : 273,711.12 = 138,024.48 : x
  2. Step 2: Convert to fraction form
    182,410.92/273,711.12 = 138,024.48/x
  3. Step 3: Cross multiply
    182,410.92x = 273,711.12 × 138,024.48
  4. Step 4: Simplify right side
    182,410.92x = 37,778,835,008.22
  5. Step 5: Solve for x
    x = 37,778,835,008.22/182,410.92
  6. Step 6: Final answer
    x = 207,108.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.