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Finding the Fourth Proportional to 217,258.56, 325,807.92 and 75,067.74

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Solution

The fourth proportional to 217,258.56, 325,807.92 and 75,067.74 is: 112,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,258.56 : 325,807.92 = 75,067.74 : x
  2. Step 2: Convert to fraction form
    217,258.56/325,807.92 = 75,067.74/x
  3. Step 3: Cross multiply
    217,258.56x = 325,807.92 × 75,067.74
  4. Step 4: Simplify right side
    217,258.56x = 24,457,664,228.50
  5. Step 5: Solve for x
    x = 24,457,664,228.50/217,258.56
  6. Step 6: Final answer
    x = 112,574.00

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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.