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Finding the Fourth Proportional to 217,085.28, 325,674.72 and 67,322.58

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Solution

The fourth proportional to 217,085.28, 325,674.72 and 67,322.58 is: 100,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,085.28 : 325,674.72 = 67,322.58 : x
  2. Step 2: Convert to fraction form
    217,085.28/325,674.72 = 67,322.58/x
  3. Step 3: Cross multiply
    217,085.28x = 325,674.72 × 67,322.58
  4. Step 4: Simplify right side
    217,085.28x = 21,925,262,391.18
  5. Step 5: Solve for x
    x = 21,925,262,391.18/217,085.28
  6. Step 6: Final answer
    x = 100,998.38

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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.