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Finding the Fourth Proportional to 305,365.32, 458,114.40 and 95,020.20

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Solution

The fourth proportional to 305,365.32, 458,114.40 and 95,020.20 is: 142,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,365.32 : 458,114.40 = 95,020.20 : x
  2. Step 2: Convert to fraction form
    305,365.32/458,114.40 = 95,020.20/x
  3. Step 3: Cross multiply
    305,365.32x = 458,114.40 × 95,020.20
  4. Step 4: Simplify right side
    305,365.32x = 43,530,121,910.88
  5. Step 5: Solve for x
    x = 43,530,121,910.88/305,365.32
  6. Step 6: Final answer
    x = 142,550.97

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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.