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Finding the Fourth Proportional to 135,917.30, 203,487.15 and 83,429.30

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Solution

The fourth proportional to 135,917.30, 203,487.15 and 83,429.30 is: 124,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,917.30 : 203,487.15 = 83,429.30 : x
  2. Step 2: Convert to fraction form
    135,917.30/203,487.15 = 83,429.30/x
  3. Step 3: Cross multiply
    135,917.30x = 203,487.15 × 83,429.30
  4. Step 4: Simplify right side
    135,917.30x = 16,976,790,483.50
  5. Step 5: Solve for x
    x = 16,976,790,483.50/135,917.30
  6. Step 6: Final answer
    x = 124,905.30

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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.