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Finding the Fourth Proportional to 202,534.56, 303,480 and 135,727.92

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Solution

The fourth proportional to 202,534.56, 303,480 and 135,727.92 is: 203,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,534.56 : 303,480 = 135,727.92 : x
  2. Step 2: Convert to fraction form
    202,534.56/303,480 = 135,727.92/x
  3. Step 3: Cross multiply
    202,534.56x = 303,480 × 135,727.92
  4. Step 4: Simplify right side
    202,534.56x = 41,190,709,161.60
  5. Step 5: Solve for x
    x = 41,190,709,161.60/202,534.56
  6. Step 6: Final answer
    x = 203,376.20

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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.