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Finding the Fourth Proportional to 191,884.10, 287,800.22 and 51,651.14

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Solution

The fourth proportional to 191,884.10, 287,800.22 and 51,651.14 is: 77,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,884.10 : 287,800.22 = 51,651.14 : x
  2. Step 2: Convert to fraction form
    191,884.10/287,800.22 = 51,651.14/x
  3. Step 3: Cross multiply
    191,884.10x = 287,800.22 × 51,651.14
  4. Step 4: Simplify right side
    191,884.10x = 14,865,209,455.25
  5. Step 5: Solve for x
    x = 14,865,209,455.25/191,884.10
  6. Step 6: Final answer
    x = 77,469.73

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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.