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Finding the Fourth Proportional to 205,475.82, 283,478.49 and 151,889.46

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Solution

The fourth proportional to 205,475.82, 283,478.49 and 151,889.46 is: 209,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,475.82 : 283,478.49 = 151,889.46 : x
  2. Step 2: Convert to fraction form
    205,475.82/283,478.49 = 151,889.46/x
  3. Step 3: Cross multiply
    205,475.82x = 283,478.49 × 151,889.46
  4. Step 4: Simplify right side
    205,475.82x = 43,057,394,767.72
  5. Step 5: Solve for x
    x = 43,057,394,767.72/205,475.82
  6. Step 6: Final answer
    x = 209,549.69

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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.