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Finding the Fourth Proportional to 309,126.75, 463,718.49 and 95,896.31

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Solution

The fourth proportional to 309,126.75, 463,718.49 and 95,896.31 is: 143,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,126.75 : 463,718.49 = 95,896.31 : x
  2. Step 2: Convert to fraction form
    309,126.75/463,718.49 = 95,896.31/x
  3. Step 3: Cross multiply
    309,126.75x = 463,718.49 × 95,896.31
  4. Step 4: Simplify right side
    309,126.75x = 44,468,890,200.69
  5. Step 5: Solve for x
    x = 44,468,890,200.69/309,126.75
  6. Step 6: Final answer
    x = 143,853.26

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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.