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Finding the Fourth Proportional to 96,209.78, 144,314.66 and 51,857.42

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Solution

The fourth proportional to 96,209.78, 144,314.66 and 51,857.42 is: 77,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,209.78 : 144,314.66 = 51,857.42 : x
  2. Step 2: Convert to fraction form
    96,209.78/144,314.66 = 51,857.42/x
  3. Step 3: Cross multiply
    96,209.78x = 144,314.66 × 51,857.42
  4. Step 4: Simplify right side
    96,209.78x = 7,483,785,343.85
  5. Step 5: Solve for x
    x = 7,483,785,343.85/96,209.78
  6. Step 6: Final answer
    x = 77,786.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.