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Finding the Fourth Proportional to 225,577.50, 338,389.11 and 83,460.30

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Solution

The fourth proportional to 225,577.50, 338,389.11 and 83,460.30 is: 125,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,577.50 : 338,389.11 = 83,460.30 : x
  2. Step 2: Convert to fraction form
    225,577.50/338,389.11 = 83,460.30/x
  3. Step 3: Cross multiply
    225,577.50x = 338,389.11 × 83,460.30
  4. Step 4: Simplify right side
    225,577.50x = 28,242,056,637.33
  5. Step 5: Solve for x
    x = 28,242,056,637.33/225,577.50
  6. Step 6: Final answer
    x = 125,198.91

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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.