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Finding the Fourth Proportional to 309,170.62, 463,733.76 and 95,933.08

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Solution

The fourth proportional to 309,170.62, 463,733.76 and 95,933.08 is: 143,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,170.62 : 463,733.76 = 95,933.08 : x
  2. Step 2: Convert to fraction form
    309,170.62/463,733.76 = 95,933.08/x
  3. Step 3: Cross multiply
    309,170.62x = 463,733.76 × 95,933.08
  4. Step 4: Simplify right side
    309,170.62x = 44,487,407,896.78
  5. Step 5: Solve for x
    x = 44,487,407,896.78/309,170.62
  6. Step 6: Final answer
    x = 143,892.74

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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.