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Finding the Fourth Proportional to 123,692.80, 185,539.20 and 73,829.20

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Solution

The fourth proportional to 123,692.80, 185,539.20 and 73,829.20 is: 110,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,692.80 : 185,539.20 = 73,829.20 : x
  2. Step 2: Convert to fraction form
    123,692.80/185,539.20 = 73,829.20/x
  3. Step 3: Cross multiply
    123,692.80x = 185,539.20 × 73,829.20
  4. Step 4: Simplify right side
    123,692.80x = 13,698,210,704.64
  5. Step 5: Solve for x
    x = 13,698,210,704.64/123,692.80
  6. Step 6: Final answer
    x = 110,743.80

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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.