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Finding the Fourth Proportional to 203,110.80, 280,827.96 and 177,888

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Solution

The fourth proportional to 203,110.80, 280,827.96 and 177,888 is: 245,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,110.80 : 280,827.96 = 177,888 : x
  2. Step 2: Convert to fraction form
    203,110.80/280,827.96 = 177,888/x
  3. Step 3: Cross multiply
    203,110.80x = 280,827.96 × 177,888
  4. Step 4: Simplify right side
    203,110.80x = 49,955,924,148.48
  5. Step 5: Solve for x
    x = 49,955,924,148.48/203,110.80
  6. Step 6: Final answer
    x = 245,954.05

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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.