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Finding the Fourth Proportional to 378,076.26, 567,197.42 and 111,816.01

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Solution

The fourth proportional to 378,076.26, 567,197.42 and 111,816.01 is: 167,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,076.26 : 567,197.42 = 111,816.01 : x
  2. Step 2: Convert to fraction form
    378,076.26/567,197.42 = 111,816.01/x
  3. Step 3: Cross multiply
    378,076.26x = 567,197.42 × 111,816.01
  4. Step 4: Simplify right side
    378,076.26x = 63,421,752,386.69
  5. Step 5: Solve for x
    x = 63,421,752,386.69/378,076.26
  6. Step 6: Final answer
    x = 167,748.57

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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.