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Finding the Fourth Proportional to 203,314.96, 280,224.42 and 135,210.28

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Solution

The fourth proportional to 203,314.96, 280,224.42 and 135,210.28 is: 186,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,314.96 : 280,224.42 = 135,210.28 : x
  2. Step 2: Convert to fraction form
    203,314.96/280,224.42 = 135,210.28/x
  3. Step 3: Cross multiply
    203,314.96x = 280,224.42 × 135,210.28
  4. Step 4: Simplify right side
    203,314.96x = 37,889,222,291.04
  5. Step 5: Solve for x
    x = 37,889,222,291.04/203,314.96
  6. Step 6: Final answer
    x = 186,357.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.