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Finding the Fourth Proportional to 276,714, 381,950 and 162,019.53

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Solution

The fourth proportional to 276,714, 381,950 and 162,019.53 is: 223,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,714 : 381,950 = 162,019.53 : x
  2. Step 2: Convert to fraction form
    276,714/381,950 = 162,019.53/x
  3. Step 3: Cross multiply
    276,714x = 381,950 × 162,019.53
  4. Step 4: Simplify right side
    276,714x = 61,883,359,483.50
  5. Step 5: Solve for x
    x = 61,883,359,483.50/276,714
  6. Step 6: Final answer
    x = 223,636.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.