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Finding the Fourth Proportional to 261,633.60, 361,056.82 and 148,447.44

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Solution

The fourth proportional to 261,633.60, 361,056.82 and 148,447.44 is: 204,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,633.60 : 361,056.82 = 148,447.44 : x
  2. Step 2: Convert to fraction form
    261,633.60/361,056.82 = 148,447.44/x
  3. Step 3: Cross multiply
    261,633.60x = 361,056.82 × 148,447.44
  4. Step 4: Simplify right side
    261,633.60x = 53,597,960,623.54
  5. Step 5: Solve for x
    x = 53,597,960,623.54/261,633.60
  6. Step 6: Final answer
    x = 204,858.86

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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.