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Finding the Fourth Proportional to 217,222.56, 325,658.88 and 98,832.96

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Solution

The fourth proportional to 217,222.56, 325,658.88 and 98,832.96 is: 148,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,222.56 : 325,658.88 = 98,832.96 : x
  2. Step 2: Convert to fraction form
    217,222.56/325,658.88 = 98,832.96/x
  3. Step 3: Cross multiply
    217,222.56x = 325,658.88 × 98,832.96
  4. Step 4: Simplify right side
    217,222.56x = 32,185,831,060.68
  5. Step 5: Solve for x
    x = 32,185,831,060.68/217,222.56
  6. Step 6: Final answer
    x = 148,169.84

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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.