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Finding the Fourth Proportional to 156,817.54, 235,692.87 and 73,769.86

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Solution

The fourth proportional to 156,817.54, 235,692.87 and 73,769.86 is: 110,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,817.54 : 235,692.87 = 73,769.86 : x
  2. Step 2: Convert to fraction form
    156,817.54/235,692.87 = 73,769.86/x
  3. Step 3: Cross multiply
    156,817.54x = 235,692.87 × 73,769.86
  4. Step 4: Simplify right side
    156,817.54x = 17,387,030,022.90
  5. Step 5: Solve for x
    x = 17,387,030,022.90/156,817.54
  6. Step 6: Final answer
    x = 110,874.27

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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.