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Finding the Fourth Proportional to 203,022.39, 280,164.57 and 116,981.55

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Solution

The fourth proportional to 203,022.39, 280,164.57 and 116,981.55 is: 161,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,022.39 : 280,164.57 = 116,981.55 : x
  2. Step 2: Convert to fraction form
    203,022.39/280,164.57 = 116,981.55/x
  3. Step 3: Cross multiply
    203,022.39x = 280,164.57 × 116,981.55
  4. Step 4: Simplify right side
    203,022.39x = 32,774,085,653.68
  5. Step 5: Solve for x
    x = 32,774,085,653.68/203,022.39
  6. Step 6: Final answer
    x = 161,430.89

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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.