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Finding the Fourth Proportional to 202,711.57, 279,749.84 and 134,611.11

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Solution

The fourth proportional to 202,711.57, 279,749.84 and 134,611.11 is: 185,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,711.57 : 279,749.84 = 134,611.11 : x
  2. Step 2: Convert to fraction form
    202,711.57/279,749.84 = 134,611.11/x
  3. Step 3: Cross multiply
    202,711.57x = 279,749.84 × 134,611.11
  4. Step 4: Simplify right side
    202,711.57x = 37,657,437,520.62
  5. Step 5: Solve for x
    x = 37,657,437,520.62/202,711.57
  6. Step 6: Final answer
    x = 185,768.57

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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.