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Finding the Fourth Proportional to 276,711, 381,945.86 and 162,016.53

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Solution

The fourth proportional to 276,711, 381,945.86 and 162,016.53 is: 223,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,711 : 381,945.86 = 162,016.53 : x
  2. Step 2: Convert to fraction form
    276,711/381,945.86 = 162,016.53/x
  3. Step 3: Cross multiply
    276,711x = 381,945.86 × 162,016.53
  4. Step 4: Simplify right side
    276,711x = 61,881,542,885.07
  5. Step 5: Solve for x
    x = 61,881,542,885.07/276,711
  6. Step 6: Final answer
    x = 223,632.39

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Why These Related Problems?

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