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Finding the Fourth Proportional to 109,098.56, 163,544.16 and 69,544.64

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Solution

The fourth proportional to 109,098.56, 163,544.16 and 69,544.64 is: 104,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,098.56 : 163,544.16 = 69,544.64 : x
  2. Step 2: Convert to fraction form
    109,098.56/163,544.16 = 69,544.64/x
  3. Step 3: Cross multiply
    109,098.56x = 163,544.16 × 69,544.64
  4. Step 4: Simplify right side
    109,098.56x = 11,373,619,731.30
  5. Step 5: Solve for x
    x = 11,373,619,731.30/109,098.56
  6. Step 6: Final answer
    x = 104,250.87

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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.