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Finding the Fourth Proportional to 151,763.31, 209,422.63 and 83,769.38

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Solution

The fourth proportional to 151,763.31, 209,422.63 and 83,769.38 is: 115,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,763.31 : 209,422.63 = 83,769.38 : x
  2. Step 2: Convert to fraction form
    151,763.31/209,422.63 = 83,769.38/x
  3. Step 3: Cross multiply
    151,763.31x = 209,422.63 × 83,769.38
  4. Step 4: Simplify right side
    151,763.31x = 17,543,203,873.07
  5. Step 5: Solve for x
    x = 17,543,203,873.07/151,763.31
  6. Step 6: Final answer
    x = 115,595.82

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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.