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Finding the Fourth Proportional to 191,761.82, 287,684.25 and 73,433.16

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Solution

The fourth proportional to 191,761.82, 287,684.25 and 73,433.16 is: 110,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,761.82 : 287,684.25 = 73,433.16 : x
  2. Step 2: Convert to fraction form
    191,761.82/287,684.25 = 73,433.16/x
  3. Step 3: Cross multiply
    191,761.82x = 287,684.25 × 73,433.16
  4. Step 4: Simplify right side
    191,761.82x = 21,125,563,559.73
  5. Step 5: Solve for x
    x = 21,125,563,559.73/191,761.82
  6. Step 6: Final answer
    x = 110,165.64

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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.