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Finding the Fourth Proportional to 225,816.34, 338,724.64 and 57,349.30

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Solution

The fourth proportional to 225,816.34, 338,724.64 and 57,349.30 is: 86,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,816.34 : 338,724.64 = 57,349.30 : x
  2. Step 2: Convert to fraction form
    225,816.34/338,724.64 = 57,349.30/x
  3. Step 3: Cross multiply
    225,816.34x = 338,724.64 × 57,349.30
  4. Step 4: Simplify right side
    225,816.34x = 19,425,620,996.75
  5. Step 5: Solve for x
    x = 19,425,620,996.75/225,816.34
  6. Step 6: Final answer
    x = 86,023.98

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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.