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Finding the Fourth Proportional to 201,672.59, 301,677.75 and 165,729.24

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Solution

The fourth proportional to 201,672.59, 301,677.75 and 165,729.24 is: 247,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,672.59 : 301,677.75 = 165,729.24 : x
  2. Step 2: Convert to fraction form
    201,672.59/301,677.75 = 165,729.24/x
  3. Step 3: Cross multiply
    201,672.59x = 301,677.75 × 165,729.24
  4. Step 4: Simplify right side
    201,672.59x = 49,996,824,232.41
  5. Step 5: Solve for x
    x = 49,996,824,232.41/201,672.59
  6. Step 6: Final answer
    x = 247,910.86

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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.