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Finding the Fourth Proportional to 203,463.10, 305,194.65 and 92,871.10

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Solution

The fourth proportional to 203,463.10, 305,194.65 and 92,871.10 is: 139,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.10 : 305,194.65 = 92,871.10 : x
  2. Step 2: Convert to fraction form
    203,463.10/305,194.65 = 92,871.10/x
  3. Step 3: Cross multiply
    203,463.10x = 305,194.65 × 92,871.10
  4. Step 4: Simplify right side
    203,463.10x = 28,343,762,859.62
  5. Step 5: Solve for x
    x = 28,343,762,859.62/203,463.10
  6. Step 6: Final answer
    x = 139,306.65

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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.