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Finding the Fourth Proportional to 217,038.96, 325,608.93 and 67,271.31

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Solution

The fourth proportional to 217,038.96, 325,608.93 and 67,271.31 is: 100,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,038.96 : 325,608.93 = 67,271.31 : x
  2. Step 2: Convert to fraction form
    217,038.96/325,608.93 = 67,271.31/x
  3. Step 3: Cross multiply
    217,038.96x = 325,608.93 × 67,271.31
  4. Step 4: Simplify right side
    217,038.96x = 21,904,139,268.80
  5. Step 5: Solve for x
    x = 21,904,139,268.80/217,038.96
  6. Step 6: Final answer
    x = 100,922.61

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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.