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Finding the Fourth Proportional to 276,465.26, 414,683.30 and 136,176.50

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Solution

The fourth proportional to 276,465.26, 414,683.30 and 136,176.50 is: 204,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,465.26 : 414,683.30 = 136,176.50 : x
  2. Step 2: Convert to fraction form
    276,465.26/414,683.30 = 136,176.50/x
  3. Step 3: Cross multiply
    276,465.26x = 414,683.30 × 136,176.50
  4. Step 4: Simplify right side
    276,465.26x = 56,470,120,402.45
  5. Step 5: Solve for x
    x = 56,470,120,402.45/276,465.26
  6. Step 6: Final answer
    x = 204,257.56

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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.