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Finding the Fourth Proportional to 309,132.81, 463,765.74 and 95,896.47

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Solution

The fourth proportional to 309,132.81, 463,765.74 and 95,896.47 is: 143,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,132.81 : 463,765.74 = 95,896.47 : x
  2. Step 2: Convert to fraction form
    309,132.81/463,765.74 = 95,896.47/x
  3. Step 3: Cross multiply
    309,132.81x = 463,765.74 × 95,896.47
  4. Step 4: Simplify right side
    309,132.81x = 44,473,497,372.94
  5. Step 5: Solve for x
    x = 44,473,497,372.94/309,132.81
  6. Step 6: Final answer
    x = 143,865.34

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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.