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Finding the Fourth Proportional to 225,477.48, 338,204.40 and 75,720.84

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Solution

The fourth proportional to 225,477.48, 338,204.40 and 75,720.84 is: 113,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,477.48 : 338,204.40 = 75,720.84 : x
  2. Step 2: Convert to fraction form
    225,477.48/338,204.40 = 75,720.84/x
  3. Step 3: Cross multiply
    225,477.48x = 338,204.40 × 75,720.84
  4. Step 4: Simplify right side
    225,477.48x = 25,609,121,259.70
  5. Step 5: Solve for x
    x = 25,609,121,259.70/225,477.48
  6. Step 6: Final answer
    x = 113,577.29

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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.