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Finding the Fourth Proportional to 180,003.40, 269,832.30 and 140,000.20

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Solution

The fourth proportional to 180,003.40, 269,832.30 and 140,000.20 is: 209,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.40 : 269,832.30 = 140,000.20 : x
  2. Step 2: Convert to fraction form
    180,003.40/269,832.30 = 140,000.20/x
  3. Step 3: Cross multiply
    180,003.40x = 269,832.30 × 140,000.20
  4. Step 4: Simplify right side
    180,003.40x = 37,776,575,966.46
  5. Step 5: Solve for x
    x = 37,776,575,966.46/180,003.40
  6. Step 6: Final answer
    x = 209,865.90

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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.