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Finding the Fourth Proportional to 276,686.41, 381,854.48 and 161,958.10

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Solution

The fourth proportional to 276,686.41, 381,854.48 and 161,958.10 is: 223,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,686.41 : 381,854.48 = 161,958.10 : x
  2. Step 2: Convert to fraction form
    276,686.41/381,854.48 = 161,958.10/x
  3. Step 3: Cross multiply
    276,686.41x = 381,854.48 × 161,958.10
  4. Step 4: Simplify right side
    276,686.41x = 61,844,423,853.40
  5. Step 5: Solve for x
    x = 61,844,423,853.40/276,686.41
  6. Step 6: Final answer
    x = 223,518.11

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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.