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Finding the Fourth Proportional to 291,219.84, 402,007.38 and 195,781.89

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Solution

The fourth proportional to 291,219.84, 402,007.38 and 195,781.89 is: 270,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,219.84 : 402,007.38 = 195,781.89 : x
  2. Step 2: Convert to fraction form
    291,219.84/402,007.38 = 195,781.89/x
  3. Step 3: Cross multiply
    291,219.84x = 402,007.38 × 195,781.89
  4. Step 4: Simplify right side
    291,219.84x = 78,705,764,650.35
  5. Step 5: Solve for x
    x = 78,705,764,650.35/291,219.84
  6. Step 6: Final answer
    x = 270,262.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.