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Finding the Fourth Proportional to 110,643.10, 165,964.65 and 73,245.40

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Solution

The fourth proportional to 110,643.10, 165,964.65 and 73,245.40 is: 109,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,643.10 : 165,964.65 = 73,245.40 : x
  2. Step 2: Convert to fraction form
    110,643.10/165,964.65 = 73,245.40/x
  3. Step 3: Cross multiply
    110,643.10x = 165,964.65 × 73,245.40
  4. Step 4: Simplify right side
    110,643.10x = 12,156,147,175.11
  5. Step 5: Solve for x
    x = 12,156,147,175.11/110,643.10
  6. Step 6: Final answer
    x = 109,868.10

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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.