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Finding the Fourth Proportional to 191,845.34, 287,794.26 and 65,451.65

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Solution

The fourth proportional to 191,845.34, 287,794.26 and 65,451.65 is: 98,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,845.34 : 287,794.26 = 65,451.65 : x
  2. Step 2: Convert to fraction form
    191,845.34/287,794.26 = 65,451.65/x
  3. Step 3: Cross multiply
    191,845.34x = 287,794.26 × 65,451.65
  4. Step 4: Simplify right side
    191,845.34x = 18,836,607,738.56
  5. Step 5: Solve for x
    x = 18,836,607,738.56/191,845.34
  6. Step 6: Final answer
    x = 98,186.43

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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.