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Finding the Fourth Proportional to 216,381.38, 298,600.83 and 120,888.75

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Solution

The fourth proportional to 216,381.38, 298,600.83 and 120,888.75 is: 166,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,381.38 : 298,600.83 = 120,888.75 : x
  2. Step 2: Convert to fraction form
    216,381.38/298,600.83 = 120,888.75/x
  3. Step 3: Cross multiply
    216,381.38x = 298,600.83 × 120,888.75
  4. Step 4: Simplify right side
    216,381.38x = 36,097,482,207.42
  5. Step 5: Solve for x
    x = 36,097,482,207.42/216,381.38
  6. Step 6: Final answer
    x = 166,823.43

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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.