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Finding the Fourth Proportional to 129,120, 193,687.32 and 46,014

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Solution

The fourth proportional to 129,120, 193,687.32 and 46,014 is: 69,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,120 : 193,687.32 = 46,014 : x
  2. Step 2: Convert to fraction form
    129,120/193,687.32 = 46,014/x
  3. Step 3: Cross multiply
    129,120x = 193,687.32 × 46,014
  4. Step 4: Simplify right side
    129,120x = 8,912,328,342.48
  5. Step 5: Solve for x
    x = 8,912,328,342.48/129,120
  6. Step 6: Final answer
    x = 69,023.61

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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.