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Finding the Fourth Proportional to 180,140.20, 269,432.70 and 152,146.60

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Solution

The fourth proportional to 180,140.20, 269,432.70 and 152,146.60 is: 227,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,140.20 : 269,432.70 = 152,146.60 : x
  2. Step 2: Convert to fraction form
    180,140.20/269,432.70 = 152,146.60/x
  3. Step 3: Cross multiply
    180,140.20x = 269,432.70 × 152,146.60
  4. Step 4: Simplify right side
    180,140.20x = 40,993,269,233.82
  5. Step 5: Solve for x
    x = 40,993,269,233.82/180,140.20
  6. Step 6: Final answer
    x = 227,563.14

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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.