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Finding the Fourth Proportional to 180,140.70, 269,433.45 and 152,147.10

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Solution

The fourth proportional to 180,140.70, 269,433.45 and 152,147.10 is: 227,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,140.70 : 269,433.45 = 152,147.10 : x
  2. Step 2: Convert to fraction form
    180,140.70/269,433.45 = 152,147.10/x
  3. Step 3: Cross multiply
    180,140.70x = 269,433.45 × 152,147.10
  4. Step 4: Simplify right side
    180,140.70x = 40,993,518,060.50
  5. Step 5: Solve for x
    x = 40,993,518,060.50/180,140.70
  6. Step 6: Final answer
    x = 227,563.89

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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.