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Finding the Fourth Proportional to 225,701.60, 338,638.80 and 222,159.20

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Solution

The fourth proportional to 225,701.60, 338,638.80 and 222,159.20 is: 333,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,701.60 : 338,638.80 = 222,159.20 : x
  2. Step 2: Convert to fraction form
    225,701.60/338,638.80 = 222,159.20/x
  3. Step 3: Cross multiply
    225,701.60x = 338,638.80 × 222,159.20
  4. Step 4: Simplify right side
    225,701.60x = 75,231,724,896.96
  5. Step 5: Solve for x
    x = 75,231,724,896.96/225,701.60
  6. Step 6: Final answer
    x = 333,323.84

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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.