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Finding the Fourth Proportional to 110,534.08, 165,678 and 43,956.40

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Solution

The fourth proportional to 110,534.08, 165,678 and 43,956.40 is: 65,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,534.08 : 165,678 = 43,956.40 : x
  2. Step 2: Convert to fraction form
    110,534.08/165,678 = 43,956.40/x
  3. Step 3: Cross multiply
    110,534.08x = 165,678 × 43,956.40
  4. Step 4: Simplify right side
    110,534.08x = 7,282,608,439.20
  5. Step 5: Solve for x
    x = 7,282,608,439.20/110,534.08
  6. Step 6: Final answer
    x = 65,885.64

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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.