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Finding the Fourth Proportional to 263,264.10, 394,896.15 and 156,975.90

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Solution

The fourth proportional to 263,264.10, 394,896.15 and 156,975.90 is: 235,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,264.10 : 394,896.15 = 156,975.90 : x
  2. Step 2: Convert to fraction form
    263,264.10/394,896.15 = 156,975.90/x
  3. Step 3: Cross multiply
    263,264.10x = 394,896.15 × 156,975.90
  4. Step 4: Simplify right side
    263,264.10x = 61,989,178,552.79
  5. Step 5: Solve for x
    x = 61,989,178,552.79/263,264.10
  6. Step 6: Final answer
    x = 235,463.85

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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.