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Finding the Fourth Proportional to 161,523.34, 242,334.63 and 82,692.90

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Solution

The fourth proportional to 161,523.34, 242,334.63 and 82,692.90 is: 124,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,523.34 : 242,334.63 = 82,692.90 : x
  2. Step 2: Convert to fraction form
    161,523.34/242,334.63 = 82,692.90/x
  3. Step 3: Cross multiply
    161,523.34x = 242,334.63 × 82,692.90
  4. Step 4: Simplify right side
    161,523.34x = 20,039,353,325.13
  5. Step 5: Solve for x
    x = 20,039,353,325.13/161,523.34
  6. Step 6: Final answer
    x = 124,064.75

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Why These Related Problems?

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