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Finding the Fourth Proportional to 180,010.30, 270,015.45 and 140,352.70

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Solution

The fourth proportional to 180,010.30, 270,015.45 and 140,352.70 is: 210,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,010.30 : 270,015.45 = 140,352.70 : x
  2. Step 2: Convert to fraction form
    180,010.30/270,015.45 = 140,352.70/x
  3. Step 3: Cross multiply
    180,010.30x = 270,015.45 × 140,352.70
  4. Step 4: Simplify right side
    180,010.30x = 37,897,397,449.22
  5. Step 5: Solve for x
    x = 37,897,397,449.22/180,010.30
  6. Step 6: Final answer
    x = 210,529.05

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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.