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Finding the Fourth Proportional to 263,694.78, 363,934.08 and 148,997.16

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Solution

The fourth proportional to 263,694.78, 363,934.08 and 148,997.16 is: 205,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,694.78 : 363,934.08 = 148,997.16 : x
  2. Step 2: Convert to fraction form
    263,694.78/363,934.08 = 148,997.16/x
  3. Step 3: Cross multiply
    263,694.78x = 363,934.08 × 148,997.16
  4. Step 4: Simplify right side
    263,694.78x = 54,225,144,347.21
  5. Step 5: Solve for x
    x = 54,225,144,347.21/263,694.78
  6. Step 6: Final answer
    x = 205,636.02

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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.