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Finding the Fourth Proportional to 110,144.58, 165,214.53 and 35,264.94

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Solution

The fourth proportional to 110,144.58, 165,214.53 and 35,264.94 is: 52,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,144.58 : 165,214.53 = 35,264.94 : x
  2. Step 2: Convert to fraction form
    110,144.58/165,214.53 = 35,264.94/x
  3. Step 3: Cross multiply
    110,144.58x = 165,214.53 × 35,264.94
  4. Step 4: Simplify right side
    110,144.58x = 5,826,280,487.58
  5. Step 5: Solve for x
    x = 5,826,280,487.58/110,144.58
  6. Step 6: Final answer
    x = 52,896.66

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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.