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Finding the Fourth Proportional to 225,950.22, 338,953.59 and 68,178.42

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Solution

The fourth proportional to 225,950.22, 338,953.59 and 68,178.42 is: 102,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,950.22 : 338,953.59 = 68,178.42 : x
  2. Step 2: Convert to fraction form
    225,950.22/338,953.59 = 68,178.42/x
  3. Step 3: Cross multiply
    225,950.22x = 338,953.59 × 68,178.42
  4. Step 4: Simplify right side
    225,950.22x = 23,109,320,219.53
  5. Step 5: Solve for x
    x = 23,109,320,219.53/225,950.22
  6. Step 6: Final answer
    x = 102,276.16

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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.