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Finding the Fourth Proportional to 151,696.20, 209,339.37 and 83,713.80

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Solution

The fourth proportional to 151,696.20, 209,339.37 and 83,713.80 is: 115,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,696.20 : 209,339.37 = 83,713.80 : x
  2. Step 2: Convert to fraction form
    151,696.20/209,339.37 = 83,713.80/x
  3. Step 3: Cross multiply
    151,696.20x = 209,339.37 × 83,713.80
  4. Step 4: Simplify right side
    151,696.20x = 17,524,594,152.31
  5. Step 5: Solve for x
    x = 17,524,594,152.31/151,696.20
  6. Step 6: Final answer
    x = 115,524.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.