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Finding the Fourth Proportional to 193,408.52, 266,905.80 and 108,523.76

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Solution

The fourth proportional to 193,408.52, 266,905.80 and 108,523.76 is: 149,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,408.52 : 266,905.80 = 108,523.76 : x
  2. Step 2: Convert to fraction form
    193,408.52/266,905.80 = 108,523.76/x
  3. Step 3: Cross multiply
    193,408.52x = 266,905.80 × 108,523.76
  4. Step 4: Simplify right side
    193,408.52x = 28,965,620,981.81
  5. Step 5: Solve for x
    x = 28,965,620,981.81/193,408.52
  6. Step 6: Final answer
    x = 149,763.93

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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.