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Finding the Fourth Proportional to 309,152.78, 463,773.18 and 95,939.12

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Solution

The fourth proportional to 309,152.78, 463,773.18 and 95,939.12 is: 143,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,152.78 : 463,773.18 = 95,939.12 : x
  2. Step 2: Convert to fraction form
    309,152.78/463,773.18 = 95,939.12/x
  3. Step 3: Cross multiply
    309,152.78x = 463,773.18 × 95,939.12
  4. Step 4: Simplify right side
    309,152.78x = 44,493,988,449.94
  5. Step 5: Solve for x
    x = 44,493,988,449.94/309,152.78
  6. Step 6: Final answer
    x = 143,922.33

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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.