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Finding the Fourth Proportional to 263,065.67, 363,066.18 and 148,367.87

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Solution

The fourth proportional to 263,065.67, 363,066.18 and 148,367.87 is: 204,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,065.67 : 363,066.18 = 148,367.87 : x
  2. Step 2: Convert to fraction form
    263,065.67/363,066.18 = 148,367.87/x
  3. Step 3: Cross multiply
    263,065.67x = 363,066.18 × 148,367.87
  4. Step 4: Simplify right side
    263,065.67x = 53,867,355,795.64
  5. Step 5: Solve for x
    x = 53,867,355,795.64/263,065.67
  6. Step 6: Final answer
    x = 204,767.71

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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.