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Finding the Fourth Proportional to 224,563.48, 309,898.41 and 122,591.20

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Solution

The fourth proportional to 224,563.48, 309,898.41 and 122,591.20 is: 169,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,563.48 : 309,898.41 = 122,591.20 : x
  2. Step 2: Convert to fraction form
    224,563.48/309,898.41 = 122,591.20/x
  3. Step 3: Cross multiply
    224,563.48x = 309,898.41 × 122,591.20
  4. Step 4: Simplify right side
    224,563.48x = 37,990,817,959.99
  5. Step 5: Solve for x
    x = 37,990,817,959.99/224,563.48
  6. Step 6: Final answer
    x = 169,176.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.