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Finding the Fourth Proportional to 276,605.90, 381,800.78 and 161,911.40

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Solution

The fourth proportional to 276,605.90, 381,800.78 and 161,911.40 is: 223,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,605.90 : 381,800.78 = 161,911.40 : x
  2. Step 2: Convert to fraction form
    276,605.90/381,800.78 = 161,911.40/x
  3. Step 3: Cross multiply
    276,605.90x = 381,800.78 × 161,911.40
  4. Step 4: Simplify right side
    276,605.90x = 61,817,898,810.89
  5. Step 5: Solve for x
    x = 61,817,898,810.89/276,605.90
  6. Step 6: Final answer
    x = 223,487.27

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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.