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Finding the Fourth Proportional to 378,062.29, 567,204.14 and 111,829.89

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Solution

The fourth proportional to 378,062.29, 567,204.14 and 111,829.89 is: 167,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,062.29 : 567,204.14 = 111,829.89 : x
  2. Step 2: Convert to fraction form
    378,062.29/567,204.14 = 111,829.89/x
  3. Step 3: Cross multiply
    378,062.29x = 567,204.14 × 111,829.89
  4. Step 4: Simplify right side
    378,062.29x = 63,430,376,863.32
  5. Step 5: Solve for x
    x = 63,430,376,863.32/378,062.29
  6. Step 6: Final answer
    x = 167,777.58

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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.