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Finding the Fourth Proportional to 223,796.25, 335,691.06 and 55,316.60

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Solution

The fourth proportional to 223,796.25, 335,691.06 and 55,316.60 is: 82,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,796.25 : 335,691.06 = 55,316.60 : x
  2. Step 2: Convert to fraction form
    223,796.25/335,691.06 = 55,316.60/x
  3. Step 3: Cross multiply
    223,796.25x = 335,691.06 × 55,316.60
  4. Step 4: Simplify right side
    223,796.25x = 18,569,286,411.14
  5. Step 5: Solve for x
    x = 18,569,286,411.14/223,796.25
  6. Step 6: Final answer
    x = 82,974.07

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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.