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Finding the Fourth Proportional to 269,341.80, 404,012.70 and 194,692.20

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Solution

The fourth proportional to 269,341.80, 404,012.70 and 194,692.20 is: 292,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,341.80 : 404,012.70 = 194,692.20 : x
  2. Step 2: Convert to fraction form
    269,341.80/404,012.70 = 194,692.20/x
  3. Step 3: Cross multiply
    269,341.80x = 404,012.70 × 194,692.20
  4. Step 4: Simplify right side
    269,341.80x = 78,658,121,390.94
  5. Step 5: Solve for x
    x = 78,658,121,390.94/269,341.80
  6. Step 6: Final answer
    x = 292,038.30

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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.