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Finding the Fourth Proportional to 135,272.70, 202,736.52 and 64,195.20

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Solution

The fourth proportional to 135,272.70, 202,736.52 and 64,195.20 is: 96,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,272.70 : 202,736.52 = 64,195.20 : x
  2. Step 2: Convert to fraction form
    135,272.70/202,736.52 = 64,195.20/x
  3. Step 3: Cross multiply
    135,272.70x = 202,736.52 × 64,195.20
  4. Step 4: Simplify right side
    135,272.70x = 13,014,711,448.70
  5. Step 5: Solve for x
    x = 13,014,711,448.70/135,272.70
  6. Step 6: Final answer
    x = 96,210.92

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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.