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Finding the Fourth Proportional to 203,594.49, 280,960.63 and 118,727.96

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Solution

The fourth proportional to 203,594.49, 280,960.63 and 118,727.96 is: 163,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,594.49 : 280,960.63 = 118,727.96 : x
  2. Step 2: Convert to fraction form
    203,594.49/280,960.63 = 118,727.96/x
  3. Step 3: Cross multiply
    203,594.49x = 280,960.63 × 118,727.96
  4. Step 4: Simplify right side
    203,594.49x = 33,357,880,738.59
  5. Step 5: Solve for x
    x = 33,357,880,738.59/203,594.49
  6. Step 6: Final answer
    x = 163,844.71

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Why These Related Problems?

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