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Finding the Fourth Proportional to 378,008.25, 567,023.31 and 97,525.50

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Solution

The fourth proportional to 378,008.25, 567,023.31 and 97,525.50 is: 146,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,008.25 : 567,023.31 = 97,525.50 : x
  2. Step 2: Convert to fraction form
    378,008.25/567,023.31 = 97,525.50/x
  3. Step 3: Cross multiply
    378,008.25x = 567,023.31 × 97,525.50
  4. Step 4: Simplify right side
    378,008.25x = 55,299,231,819.41
  5. Step 5: Solve for x
    x = 55,299,231,819.41/378,008.25
  6. Step 6: Final answer
    x = 146,291.07

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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.