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Finding the Fourth Proportional to 130,193.68, 195,290.52 and 41,474.40

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Solution

The fourth proportional to 130,193.68, 195,290.52 and 41,474.40 is: 62,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,193.68 : 195,290.52 = 41,474.40 : x
  2. Step 2: Convert to fraction form
    130,193.68/195,290.52 = 41,474.40/x
  3. Step 3: Cross multiply
    130,193.68x = 195,290.52 × 41,474.40
  4. Step 4: Simplify right side
    130,193.68x = 8,099,557,142.69
  5. Step 5: Solve for x
    x = 8,099,557,142.69/130,193.68
  6. Step 6: Final answer
    x = 62,211.60

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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.