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Finding the Fourth Proportional to 217,147.65, 325,765.01 and 74,998.14

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Solution

The fourth proportional to 217,147.65, 325,765.01 and 74,998.14 is: 112,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,147.65 : 325,765.01 = 74,998.14 : x
  2. Step 2: Convert to fraction form
    217,147.65/325,765.01 = 74,998.14/x
  3. Step 3: Cross multiply
    217,147.65x = 325,765.01 × 74,998.14
  4. Step 4: Simplify right side
    217,147.65x = 24,431,769,827.08
  5. Step 5: Solve for x
    x = 24,431,769,827.08/217,147.65
  6. Step 6: Final answer
    x = 112,512.25

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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.