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Finding the Fourth Proportional to 205,873.47, 307,408.85 and 181,655.94

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Solution

The fourth proportional to 205,873.47, 307,408.85 and 181,655.94 is: 271,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,873.47 : 307,408.85 = 181,655.94 : x
  2. Step 2: Convert to fraction form
    205,873.47/307,408.85 = 181,655.94/x
  3. Step 3: Cross multiply
    205,873.47x = 307,408.85 × 181,655.94
  4. Step 4: Simplify right side
    205,873.47x = 55,842,644,536.78
  5. Step 5: Solve for x
    x = 55,842,644,536.78/205,873.47
  6. Step 6: Final answer
    x = 271,247.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.