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Finding the Fourth Proportional to 263,185.68, 363,191.72 and 148,464.57

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Solution

The fourth proportional to 263,185.68, 363,191.72 and 148,464.57 is: 204,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,185.68 : 363,191.72 = 148,464.57 : x
  2. Step 2: Convert to fraction form
    263,185.68/363,191.72 = 148,464.57/x
  3. Step 3: Cross multiply
    263,185.68x = 363,191.72 × 148,464.57
  4. Step 4: Simplify right side
    263,185.68x = 53,921,101,795.04
  5. Step 5: Solve for x
    x = 53,921,101,795.04/263,185.68
  6. Step 6: Final answer
    x = 204,878.55

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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.