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Finding the Fourth Proportional to 191,827, 287,857.14 and 81,019

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Solution

The fourth proportional to 191,827, 287,857.14 and 81,019 is: 121,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,827 : 287,857.14 = 81,019 : x
  2. Step 2: Convert to fraction form
    191,827/287,857.14 = 81,019/x
  3. Step 3: Cross multiply
    191,827x = 287,857.14 × 81,019
  4. Step 4: Simplify right side
    191,827x = 23,321,897,625.66
  5. Step 5: Solve for x
    x = 23,321,897,625.66/191,827
  6. Step 6: Final answer
    x = 121,577.76

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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.