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Finding the Fourth Proportional to 151,497.64, 209,067.78 and 84,433.96

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Solution

The fourth proportional to 151,497.64, 209,067.78 and 84,433.96 is: 116,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,497.64 : 209,067.78 = 84,433.96 : x
  2. Step 2: Convert to fraction form
    151,497.64/209,067.78 = 84,433.96/x
  3. Step 3: Cross multiply
    151,497.64x = 209,067.78 × 84,433.96
  4. Step 4: Simplify right side
    151,497.64x = 17,652,420,573.81
  5. Step 5: Solve for x
    x = 17,652,420,573.81/151,497.64
  6. Step 6: Final answer
    x = 116,519.44

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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.