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Finding the Fourth Proportional to 261,914.48, 361,447.08 and 148,737.68

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Solution

The fourth proportional to 261,914.48, 361,447.08 and 148,737.68 is: 205,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,914.48 : 361,447.08 = 148,737.68 : x
  2. Step 2: Convert to fraction form
    261,914.48/361,447.08 = 148,737.68/x
  3. Step 3: Cross multiply
    261,914.48x = 361,447.08 × 148,737.68
  4. Step 4: Simplify right side
    261,914.48x = 53,760,800,121.97
  5. Step 5: Solve for x
    x = 53,760,800,121.97/261,914.48
  6. Step 6: Final answer
    x = 205,260.89

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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.