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Finding the Fourth Proportional to 217,418.80, 326,150.52 and 75,263.88

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Solution

The fourth proportional to 217,418.80, 326,150.52 and 75,263.88 is: 112,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,418.80 : 326,150.52 = 75,263.88 : x
  2. Step 2: Convert to fraction form
    217,418.80/326,150.52 = 75,263.88/x
  3. Step 3: Cross multiply
    217,418.80x = 326,150.52 × 75,263.88
  4. Step 4: Simplify right side
    217,418.80x = 24,547,353,599.22
  5. Step 5: Solve for x
    x = 24,547,353,599.22/217,418.80
  6. Step 6: Final answer
    x = 112,903.55

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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.