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Finding the Fourth Proportional to 320,067.46, 480,101.35 and 83,409.54

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Solution

The fourth proportional to 320,067.46, 480,101.35 and 83,409.54 is: 125,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,067.46 : 480,101.35 = 83,409.54 : x
  2. Step 2: Convert to fraction form
    320,067.46/480,101.35 = 83,409.54/x
  3. Step 3: Cross multiply
    320,067.46x = 480,101.35 × 83,409.54
  4. Step 4: Simplify right side
    320,067.46x = 40,045,032,756.88
  5. Step 5: Solve for x
    x = 40,045,032,756.88/320,067.46
  6. Step 6: Final answer
    x = 125,114.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.