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Finding the Fourth Proportional to 191,406, 287,087.13 and 51,175.56

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Solution

The fourth proportional to 191,406, 287,087.13 and 51,175.56 is: 76,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,406 : 287,087.13 = 51,175.56 : x
  2. Step 2: Convert to fraction form
    191,406/287,087.13 = 51,175.56/x
  3. Step 3: Cross multiply
    191,406x = 287,087.13 × 51,175.56
  4. Step 4: Simplify right side
    191,406x = 14,691,844,646.54
  5. Step 5: Solve for x
    x = 14,691,844,646.54/191,406
  6. Step 6: Final answer
    x = 76,757.49

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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.