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Finding the Fourth Proportional to 243,808.81, 336,481.50 and 140,446.57

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Solution

The fourth proportional to 243,808.81, 336,481.50 and 140,446.57 is: 193,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,808.81 : 336,481.50 = 140,446.57 : x
  2. Step 2: Convert to fraction form
    243,808.81/336,481.50 = 140,446.57/x
  3. Step 3: Cross multiply
    243,808.81x = 336,481.50 × 140,446.57
  4. Step 4: Simplify right side
    243,808.81x = 47,257,672,543.46
  5. Step 5: Solve for x
    x = 47,257,672,543.46/243,808.81
  6. Step 6: Final answer
    x = 193,830.87

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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.