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Finding the Fourth Proportional to 175,291.20, 262,936.80 and 140,299.20

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Solution

The fourth proportional to 175,291.20, 262,936.80 and 140,299.20 is: 210,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,291.20 : 262,936.80 = 140,299.20 : x
  2. Step 2: Convert to fraction form
    175,291.20/262,936.80 = 140,299.20/x
  3. Step 3: Cross multiply
    175,291.20x = 262,936.80 × 140,299.20
  4. Step 4: Simplify right side
    175,291.20x = 36,889,822,690.56
  5. Step 5: Solve for x
    x = 36,889,822,690.56/175,291.20
  6. Step 6: Final answer
    x = 210,448.80

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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.