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Finding the Fourth Proportional to 151,692.30, 209,333.34 and 83,707.56

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Solution

The fourth proportional to 151,692.30, 209,333.34 and 83,707.56 is: 115,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,692.30 : 209,333.34 = 83,707.56 : x
  2. Step 2: Convert to fraction form
    151,692.30/209,333.34 = 83,707.56/x
  3. Step 3: Cross multiply
    151,692.30x = 209,333.34 × 83,707.56
  4. Step 4: Simplify right side
    151,692.30x = 17,522,783,118.05
  5. Step 5: Solve for x
    x = 17,522,783,118.05/151,692.30
  6. Step 6: Final answer
    x = 115,515.31

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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.