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Finding the Fourth Proportional to 151,701.75, 209,348.51 and 84,633.75

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Solution

The fourth proportional to 151,701.75, 209,348.51 and 84,633.75 is: 116,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,701.75 : 209,348.51 = 84,633.75 : x
  2. Step 2: Convert to fraction form
    151,701.75/209,348.51 = 84,633.75/x
  3. Step 3: Cross multiply
    151,701.75x = 209,348.51 × 84,633.75
  4. Step 4: Simplify right side
    151,701.75x = 17,717,949,035.04
  5. Step 5: Solve for x
    x = 17,717,949,035.04/151,701.75
  6. Step 6: Final answer
    x = 116,794.63

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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.