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Finding the Fourth Proportional to 301,023.30, 415,430.79 and 166,887.30

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Solution

The fourth proportional to 301,023.30, 415,430.79 and 166,887.30 is: 230,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,023.30 : 415,430.79 = 166,887.30 : x
  2. Step 2: Convert to fraction form
    301,023.30/415,430.79 = 166,887.30/x
  3. Step 3: Cross multiply
    301,023.30x = 415,430.79 × 166,887.30
  4. Step 4: Simplify right side
    301,023.30x = 69,330,122,879.97
  5. Step 5: Solve for x
    x = 69,330,122,879.97/301,023.30
  6. Step 6: Final answer
    x = 230,314.81

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