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Finding the Fourth Proportional to 217,594.56, 326,322.72 and 69,816

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Solution

The fourth proportional to 217,594.56, 326,322.72 and 69,816 is: 104,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,594.56 : 326,322.72 = 69,816 : x
  2. Step 2: Convert to fraction form
    217,594.56/326,322.72 = 69,816/x
  3. Step 3: Cross multiply
    217,594.56x = 326,322.72 × 69,816
  4. Step 4: Simplify right side
    217,594.56x = 22,782,547,019.52
  5. Step 5: Solve for x
    x = 22,782,547,019.52/217,594.56
  6. Step 6: Final answer
    x = 104,701.82

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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.