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Finding the Fourth Proportional to 261,735.01, 361,102.34 and 171,144

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Solution

The fourth proportional to 261,735.01, 361,102.34 and 171,144 is: 236,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,735.01 : 361,102.34 = 171,144 : x
  2. Step 2: Convert to fraction form
    261,735.01/361,102.34 = 171,144/x
  3. Step 3: Cross multiply
    261,735.01x = 361,102.34 × 171,144
  4. Step 4: Simplify right side
    261,735.01x = 61,800,498,876.96
  5. Step 5: Solve for x
    x = 61,800,498,876.96/261,735.01
  6. Step 6: Final answer
    x = 236,118.58

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