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Finding the Fourth Proportional to 151,692.44, 209,334.12 and 83,710

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Solution

The fourth proportional to 151,692.44, 209,334.12 and 83,710 is: 115,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,692.44 : 209,334.12 = 83,710 : x
  2. Step 2: Convert to fraction form
    151,692.44/209,334.12 = 83,710/x
  3. Step 3: Cross multiply
    151,692.44x = 209,334.12 × 83,710
  4. Step 4: Simplify right side
    151,692.44x = 17,523,359,185.20
  5. Step 5: Solve for x
    x = 17,523,359,185.20/151,692.44
  6. Step 6: Final answer
    x = 115,519.00

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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.