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Finding the Fourth Proportional to 224,073, 309,227.22 and 123,477.48

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Solution

The fourth proportional to 224,073, 309,227.22 and 123,477.48 is: 170,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,073 : 309,227.22 = 123,477.48 : x
  2. Step 2: Convert to fraction form
    224,073/309,227.22 = 123,477.48/x
  3. Step 3: Cross multiply
    224,073x = 309,227.22 × 123,477.48
  4. Step 4: Simplify right side
    224,073x = 38,182,597,873.01
  5. Step 5: Solve for x
    x = 38,182,597,873.01/224,073
  6. Step 6: Final answer
    x = 170,402.49

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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.