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Finding the Fourth Proportional to 195,194.50, 292,834.85 and 82,970.62

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Solution

The fourth proportional to 195,194.50, 292,834.85 and 82,970.62 is: 124,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,194.50 : 292,834.85 = 82,970.62 : x
  2. Step 2: Convert to fraction form
    195,194.50/292,834.85 = 82,970.62/x
  3. Step 3: Cross multiply
    195,194.50x = 292,834.85 × 82,970.62
  4. Step 4: Simplify right side
    195,194.50x = 24,296,687,915.17
  5. Step 5: Solve for x
    x = 24,296,687,915.17/195,194.50
  6. Step 6: Final answer
    x = 124,474.25

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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.