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Finding the Fourth Proportional to 120,164.30, 180,246.45 and 67,020.20

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Solution

The fourth proportional to 120,164.30, 180,246.45 and 67,020.20 is: 100,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.30 : 180,246.45 = 67,020.20 : x
  2. Step 2: Convert to fraction form
    120,164.30/180,246.45 = 67,020.20/x
  3. Step 3: Cross multiply
    120,164.30x = 180,246.45 × 67,020.20
  4. Step 4: Simplify right side
    120,164.30x = 12,080,153,128.29
  5. Step 5: Solve for x
    x = 12,080,153,128.29/120,164.30
  6. Step 6: Final answer
    x = 100,530.30

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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.