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Finding the Fourth Proportional to 208,398.72, 287,589.84 and 112,908

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Solution

The fourth proportional to 208,398.72, 287,589.84 and 112,908 is: 155,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,398.72 : 287,589.84 = 112,908 : x
  2. Step 2: Convert to fraction form
    208,398.72/287,589.84 = 112,908/x
  3. Step 3: Cross multiply
    208,398.72x = 287,589.84 × 112,908
  4. Step 4: Simplify right side
    208,398.72x = 32,471,193,654.72
  5. Step 5: Solve for x
    x = 32,471,193,654.72/208,398.72
  6. Step 6: Final answer
    x = 155,812.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.