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Finding the Fourth Proportional to 202,290.30, 303,435.45 and 135,762.30

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Solution

The fourth proportional to 202,290.30, 303,435.45 and 135,762.30 is: 203,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,290.30 : 303,435.45 = 135,762.30 : x
  2. Step 2: Convert to fraction form
    202,290.30/303,435.45 = 135,762.30/x
  3. Step 3: Cross multiply
    202,290.30x = 303,435.45 × 135,762.30
  4. Step 4: Simplify right side
    202,290.30x = 41,195,094,593.54
  5. Step 5: Solve for x
    x = 41,195,094,593.54/202,290.30
  6. Step 6: Final answer
    x = 203,643.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.