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Finding the Fourth Proportional to 301,201.90, 415,656.16 and 163,380.48

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Solution

The fourth proportional to 301,201.90, 415,656.16 and 163,380.48 is: 225,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,201.90 : 415,656.16 = 163,380.48 : x
  2. Step 2: Convert to fraction form
    301,201.90/415,656.16 = 163,380.48/x
  3. Step 3: Cross multiply
    301,201.90x = 415,656.16 × 163,380.48
  4. Step 4: Simplify right side
    301,201.90x = 67,910,100,040.57
  5. Step 5: Solve for x
    x = 67,910,100,040.57/301,201.90
  6. Step 6: Final answer
    x = 225,463.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.