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Finding the Fourth Proportional to 281,351.74, 388,159.41 and 184,609

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Solution

The fourth proportional to 281,351.74, 388,159.41 and 184,609 is: 254,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,351.74 : 388,159.41 = 184,609 : x
  2. Step 2: Convert to fraction form
    281,351.74/388,159.41 = 184,609/x
  3. Step 3: Cross multiply
    281,351.74x = 388,159.41 × 184,609
  4. Step 4: Simplify right side
    281,351.74x = 71,657,720,520.69
  5. Step 5: Solve for x
    x = 71,657,720,520.69/281,351.74
  6. Step 6: Final answer
    x = 254,690.87

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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.