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Finding the Fourth Proportional to 116,787.96, 160,116.26 and 114,659.78

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Solution

The fourth proportional to 116,787.96, 160,116.26 and 114,659.78 is: 157,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,787.96 : 160,116.26 = 114,659.78 : x
  2. Step 2: Convert to fraction form
    116,787.96/160,116.26 = 114,659.78/x
  3. Step 3: Cross multiply
    116,787.96x = 160,116.26 × 114,659.78
  4. Step 4: Simplify right side
    116,787.96x = 18,358,893,772.14
  5. Step 5: Solve for x
    x = 18,358,893,772.14/116,787.96
  6. Step 6: Final answer
    x = 157,198.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.