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Finding the Fourth Proportional to 217,148.15, 325,765.76 and 74,998.64

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Solution

The fourth proportional to 217,148.15, 325,765.76 and 74,998.64 is: 112,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,148.15 : 325,765.76 = 74,998.64 : x
  2. Step 2: Convert to fraction form
    217,148.15/325,765.76 = 74,998.64/x
  3. Step 3: Cross multiply
    217,148.15x = 325,765.76 × 74,998.64
  4. Step 4: Simplify right side
    217,148.15x = 24,431,988,958.57
  5. Step 5: Solve for x
    x = 24,431,988,958.57/217,148.15
  6. Step 6: Final answer
    x = 112,513.00

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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.