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Finding the Fourth Proportional to 351,193.70, 526,737.09 and 114,536

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Solution

The fourth proportional to 351,193.70, 526,737.09 and 114,536 is: 171,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,193.70 : 526,737.09 = 114,536 : x
  2. Step 2: Convert to fraction form
    351,193.70/526,737.09 = 114,536/x
  3. Step 3: Cross multiply
    351,193.70x = 526,737.09 × 114,536
  4. Step 4: Simplify right side
    351,193.70x = 60,330,359,340.24
  5. Step 5: Solve for x
    x = 60,330,359,340.24/351,193.70
  6. Step 6: Final answer
    x = 171,786.56

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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.