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Finding the Fourth Proportional to 151,690.44, 209,331.38 and 83,708

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Solution

The fourth proportional to 151,690.44, 209,331.38 and 83,708 is: 115,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,690.44 : 209,331.38 = 83,708 : x
  2. Step 2: Convert to fraction form
    151,690.44/209,331.38 = 83,708/x
  3. Step 3: Cross multiply
    151,690.44x = 209,331.38 × 83,708
  4. Step 4: Simplify right side
    151,690.44x = 17,522,711,157.04
  5. Step 5: Solve for x
    x = 17,522,711,157.04/151,690.44
  6. Step 6: Final answer
    x = 115,516.25

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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.