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Finding the Fourth Proportional to 225,865.02, 338,345.80 and 135,858.02

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Solution

The fourth proportional to 225,865.02, 338,345.80 and 135,858.02 is: 203,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,865.02 : 338,345.80 = 135,858.02 : x
  2. Step 2: Convert to fraction form
    225,865.02/338,345.80 = 135,858.02/x
  3. Step 3: Cross multiply
    225,865.02x = 338,345.80 × 135,858.02
  4. Step 4: Simplify right side
    225,865.02x = 45,966,990,463.32
  5. Step 5: Solve for x
    x = 45,966,990,463.32/225,865.02
  6. Step 6: Final answer
    x = 203,515.31

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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.