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Finding the Fourth Proportional to 255,092.40, 382,177.80 and 225,601.20

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Solution

The fourth proportional to 255,092.40, 382,177.80 and 225,601.20 is: 337,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,092.40 : 382,177.80 = 225,601.20 : x
  2. Step 2: Convert to fraction form
    255,092.40/382,177.80 = 225,601.20/x
  3. Step 3: Cross multiply
    255,092.40x = 382,177.80 × 225,601.20
  4. Step 4: Simplify right side
    255,092.40x = 86,219,770,293.36
  5. Step 5: Solve for x
    x = 86,219,770,293.36/255,092.40
  6. Step 6: Final answer
    x = 337,994.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.