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Finding the Fourth Proportional to 224,475.88, 309,783.25 and 122,507.90

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Solution

The fourth proportional to 224,475.88, 309,783.25 and 122,507.90 is: 169,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,475.88 : 309,783.25 = 122,507.90 : x
  2. Step 2: Convert to fraction form
    224,475.88/309,783.25 = 122,507.90/x
  3. Step 3: Cross multiply
    224,475.88x = 309,783.25 × 122,507.90
  4. Step 4: Simplify right side
    224,475.88x = 37,950,894,489.47
  5. Step 5: Solve for x
    x = 37,950,894,489.47/224,475.88
  6. Step 6: Final answer
    x = 169,064.47

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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.