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Finding the Fourth Proportional to 151,679.44, 209,308.21 and 83,696.95

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Solution

The fourth proportional to 151,679.44, 209,308.21 and 83,696.95 is: 115,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,679.44 : 209,308.21 = 83,696.95 : x
  2. Step 2: Convert to fraction form
    151,679.44/209,308.21 = 83,696.95/x
  3. Step 3: Cross multiply
    151,679.44x = 209,308.21 × 83,696.95
  4. Step 4: Simplify right side
    151,679.44x = 17,518,458,786.96
  5. Step 5: Solve for x
    x = 17,518,458,786.96/151,679.44
  6. Step 6: Final answer
    x = 115,496.59

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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.