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Finding the Fourth Proportional to 98,269, 135,633.12 and 62,452

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Solution

The fourth proportional to 98,269, 135,633.12 and 62,452 is: 86,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,269 : 135,633.12 = 62,452 : x
  2. Step 2: Convert to fraction form
    98,269/135,633.12 = 62,452/x
  3. Step 3: Cross multiply
    98,269x = 135,633.12 × 62,452
  4. Step 4: Simplify right side
    98,269x = 8,470,559,610.24
  5. Step 5: Solve for x
    x = 8,470,559,610.24/98,269
  6. Step 6: Final answer
    x = 86,197.68

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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.