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Finding the Fourth Proportional to 378,266.82, 567,399.20 and 112,048.10

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Solution

The fourth proportional to 378,266.82, 567,399.20 and 112,048.10 is: 168,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,266.82 : 567,399.20 = 112,048.10 : x
  2. Step 2: Convert to fraction form
    378,266.82/567,399.20 = 112,048.10/x
  3. Step 3: Cross multiply
    378,266.82x = 567,399.20 × 112,048.10
  4. Step 4: Simplify right side
    378,266.82x = 63,575,998,904.28
  5. Step 5: Solve for x
    x = 63,575,998,904.28/378,266.82
  6. Step 6: Final answer
    x = 168,071.84

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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.