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Finding the Fourth Proportional to 267,863.40, 401,794.74 and 109,980.72

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Solution

The fourth proportional to 267,863.40, 401,794.74 and 109,980.72 is: 164,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,863.40 : 401,794.74 = 109,980.72 : x
  2. Step 2: Convert to fraction form
    267,863.40/401,794.74 = 109,980.72/x
  3. Step 3: Cross multiply
    267,863.40x = 401,794.74 × 109,980.72
  4. Step 4: Simplify right side
    267,863.40x = 44,189,674,797.41
  5. Step 5: Solve for x
    x = 44,189,674,797.41/267,863.40
  6. Step 6: Final answer
    x = 164,970.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.