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Finding the Fourth Proportional to 191,826, 287,855.64 and 81,018

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Solution

The fourth proportional to 191,826, 287,855.64 and 81,018 is: 121,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,826 : 287,855.64 = 81,018 : x
  2. Step 2: Convert to fraction form
    191,826/287,855.64 = 81,018/x
  3. Step 3: Cross multiply
    191,826x = 287,855.64 × 81,018
  4. Step 4: Simplify right side
    191,826x = 23,321,488,241.52
  5. Step 5: Solve for x
    x = 23,321,488,241.52/191,826
  6. Step 6: Final answer
    x = 121,576.26

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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.