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Finding the Fourth Proportional to 151,299.20, 208,798 and 83,323.28

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Solution

The fourth proportional to 151,299.20, 208,798 and 83,323.28 is: 114,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,299.20 : 208,798 = 83,323.28 : x
  2. Step 2: Convert to fraction form
    151,299.20/208,798 = 83,323.28/x
  3. Step 3: Cross multiply
    151,299.20x = 208,798 × 83,323.28
  4. Step 4: Simplify right side
    151,299.20x = 17,397,734,217.44
  5. Step 5: Solve for x
    x = 17,397,734,217.44/151,299.20
  6. Step 6: Final answer
    x = 114,988.94

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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.