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Finding the Fourth Proportional to 217,087.67, 325,705.42 and 137,032.54

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Solution

The fourth proportional to 217,087.67, 325,705.42 and 137,032.54 is: 205,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,087.67 : 325,705.42 = 137,032.54 : x
  2. Step 2: Convert to fraction form
    217,087.67/325,705.42 = 137,032.54/x
  3. Step 3: Cross multiply
    217,087.67x = 325,705.42 × 137,032.54
  4. Step 4: Simplify right side
    217,087.67x = 44,632,239,837.52
  5. Step 5: Solve for x
    x = 44,632,239,837.52/217,087.67
  6. Step 6: Final answer
    x = 205,595.46

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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.