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Finding the Fourth Proportional to 269,698.80, 404,602.20 and 80,158.80

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Solution

The fourth proportional to 269,698.80, 404,602.20 and 80,158.80 is: 120,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,698.80 : 404,602.20 = 80,158.80 : x
  2. Step 2: Convert to fraction form
    269,698.80/404,602.20 = 80,158.80/x
  3. Step 3: Cross multiply
    269,698.80x = 404,602.20 × 80,158.80
  4. Step 4: Simplify right side
    269,698.80x = 32,432,426,829.36
  5. Step 5: Solve for x
    x = 32,432,426,829.36/269,698.80
  6. Step 6: Final answer
    x = 120,254.25

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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.