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Finding the Fourth Proportional to 225,577, 338,388.36 and 83,459.80

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Solution

The fourth proportional to 225,577, 338,388.36 and 83,459.80 is: 125,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,577 : 338,388.36 = 83,459.80 : x
  2. Step 2: Convert to fraction form
    225,577/338,388.36 = 83,459.80/x
  3. Step 3: Cross multiply
    225,577x = 338,388.36 × 83,459.80
  4. Step 4: Simplify right side
    225,577x = 28,241,824,847.93
  5. Step 5: Solve for x
    x = 28,241,824,847.93/225,577
  6. Step 6: Final answer
    x = 125,198.16

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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.