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Finding the Fourth Proportional to 180,462.24, 270,692.13 and 141,052.50

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Solution

The fourth proportional to 180,462.24, 270,692.13 and 141,052.50 is: 211,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,462.24 : 270,692.13 = 141,052.50 : x
  2. Step 2: Convert to fraction form
    180,462.24/270,692.13 = 141,052.50/x
  3. Step 3: Cross multiply
    180,462.24x = 270,692.13 × 141,052.50
  4. Step 4: Simplify right side
    180,462.24x = 38,181,801,666.83
  5. Step 5: Solve for x
    x = 38,181,801,666.83/180,462.24
  6. Step 6: Final answer
    x = 211,577.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.