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Finding the Fourth Proportional to 263,265.82, 363,275.53 and 148,537.87

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Solution

The fourth proportional to 263,265.82, 363,275.53 and 148,537.87 is: 204,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,265.82 : 363,275.53 = 148,537.87 : x
  2. Step 2: Convert to fraction form
    263,265.82/363,275.53 = 148,537.87/x
  3. Step 3: Cross multiply
    263,265.82x = 363,275.53 × 148,537.87
  4. Step 4: Simplify right side
    263,265.82x = 53,960,172,169.79
  5. Step 5: Solve for x
    x = 53,960,172,169.79/263,265.82
  6. Step 6: Final answer
    x = 204,964.60

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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.