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Finding the Fourth Proportional to 156,784.80, 235,198.80 and 68,035.80

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Solution

The fourth proportional to 156,784.80, 235,198.80 and 68,035.80 is: 102,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784.80 : 235,198.80 = 68,035.80 : x
  2. Step 2: Convert to fraction form
    156,784.80/235,198.80 = 68,035.80/x
  3. Step 3: Cross multiply
    156,784.80x = 235,198.80 × 68,035.80
  4. Step 4: Simplify right side
    156,784.80x = 16,001,938,517.04
  5. Step 5: Solve for x
    x = 16,001,938,517.04/156,784.80
  6. Step 6: Final answer
    x = 102,063.07

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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.