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Finding the Fourth Proportional to 217,880.94, 326,873.94 and 75,705.51

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Solution

The fourth proportional to 217,880.94, 326,873.94 and 75,705.51 is: 113,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,880.94 : 326,873.94 = 75,705.51 : x
  2. Step 2: Convert to fraction form
    217,880.94/326,873.94 = 75,705.51/x
  3. Step 3: Cross multiply
    217,880.94x = 326,873.94 × 75,705.51
  4. Step 4: Simplify right side
    217,880.94x = 24,746,158,333.41
  5. Step 5: Solve for x
    x = 24,746,158,333.41/217,880.94
  6. Step 6: Final answer
    x = 113,576.52

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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.