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Finding the Fourth Proportional to 217,087.96, 299,581.38 and 132,205.02

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Solution

The fourth proportional to 217,087.96, 299,581.38 and 132,205.02 is: 182,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,087.96 : 299,581.38 = 132,205.02 : x
  2. Step 2: Convert to fraction form
    217,087.96/299,581.38 = 132,205.02/x
  3. Step 3: Cross multiply
    217,087.96x = 299,581.38 × 132,205.02
  4. Step 4: Simplify right side
    217,087.96x = 39,606,162,334.53
  5. Step 5: Solve for x
    x = 39,606,162,334.53/217,087.96
  6. Step 6: Final answer
    x = 182,442.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.