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Finding the Fourth Proportional to 156,692.80, 235,039.20 and 77,960.80

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Solution

The fourth proportional to 156,692.80, 235,039.20 and 77,960.80 is: 116,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,692.80 : 235,039.20 = 77,960.80 : x
  2. Step 2: Convert to fraction form
    156,692.80/235,039.20 = 77,960.80/x
  3. Step 3: Cross multiply
    156,692.80x = 235,039.20 × 77,960.80
  4. Step 4: Simplify right side
    156,692.80x = 18,323,844,063.36
  5. Step 5: Solve for x
    x = 18,323,844,063.36/156,692.80
  6. Step 6: Final answer
    x = 116,941.20

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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.