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Finding the Fourth Proportional to 435,462.90, 653,194.41 and 135,969.12

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Solution

The fourth proportional to 435,462.90, 653,194.41 and 135,969.12 is: 203,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,462.90 : 653,194.41 = 135,969.12 : x
  2. Step 2: Convert to fraction form
    435,462.90/653,194.41 = 135,969.12/x
  3. Step 3: Cross multiply
    435,462.90x = 653,194.41 × 135,969.12
  4. Step 4: Simplify right side
    435,462.90x = 88,814,269,116.62
  5. Step 5: Solve for x
    x = 88,814,269,116.62/435,462.90
  6. Step 6: Final answer
    x = 203,953.70

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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.