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Finding the Fourth Proportional to 82,164.20, 123,246.30 and 40,692.20

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Solution

The fourth proportional to 82,164.20, 123,246.30 and 40,692.20 is: 61,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.20 : 123,246.30 = 40,692.20 : x
  2. Step 2: Convert to fraction form
    82,164.20/123,246.30 = 40,692.20/x
  3. Step 3: Cross multiply
    82,164.20x = 123,246.30 × 40,692.20
  4. Step 4: Simplify right side
    82,164.20x = 5,015,163,088.86
  5. Step 5: Solve for x
    x = 5,015,163,088.86/82,164.20
  6. Step 6: Final answer
    x = 61,038.30

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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.