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Finding the Fourth Proportional to 191,902.82, 287,873.43 and 58,781.54

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Solution

The fourth proportional to 191,902.82, 287,873.43 and 58,781.54 is: 88,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,902.82 : 287,873.43 = 58,781.54 : x
  2. Step 2: Convert to fraction form
    191,902.82/287,873.43 = 58,781.54/x
  3. Step 3: Cross multiply
    191,902.82x = 287,873.43 × 58,781.54
  4. Step 4: Simplify right side
    191,902.82x = 16,921,643,540.48
  5. Step 5: Solve for x
    x = 16,921,643,540.48/191,902.82
  6. Step 6: Final answer
    x = 88,178.19

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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.