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Finding the Fourth Proportional to 282,563.74, 423,867.50 and 80,156.44

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Solution

The fourth proportional to 282,563.74, 423,867.50 and 80,156.44 is: 120,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,563.74 : 423,867.50 = 80,156.44 : x
  2. Step 2: Convert to fraction form
    282,563.74/423,867.50 = 80,156.44/x
  3. Step 3: Cross multiply
    282,563.74x = 423,867.50 × 80,156.44
  4. Step 4: Simplify right side
    282,563.74x = 33,975,709,831.70
  5. Step 5: Solve for x
    x = 33,975,709,831.70/282,563.74
  6. Step 6: Final answer
    x = 120,240.87

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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.