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Finding the Fourth Proportional to 110,212, 165,318.08 and 36,340

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Solution

The fourth proportional to 110,212, 165,318.08 and 36,340 is: 54,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,212 : 165,318.08 = 36,340 : x
  2. Step 2: Convert to fraction form
    110,212/165,318.08 = 36,340/x
  3. Step 3: Cross multiply
    110,212x = 165,318.08 × 36,340
  4. Step 4: Simplify right side
    110,212x = 6,007,659,027.20
  5. Step 5: Solve for x
    x = 6,007,659,027.20/110,212
  6. Step 6: Final answer
    x = 54,510.03

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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.