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Finding the Fourth Proportional to 224,558.40, 309,876.56 and 123,956.40

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Solution

The fourth proportional to 224,558.40, 309,876.56 and 123,956.40 is: 171,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,558.40 : 309,876.56 = 123,956.40 : x
  2. Step 2: Convert to fraction form
    224,558.40/309,876.56 = 123,956.40/x
  3. Step 3: Cross multiply
    224,558.40x = 309,876.56 × 123,956.40
  4. Step 4: Simplify right side
    224,558.40x = 38,411,182,821.98
  5. Step 5: Solve for x
    x = 38,411,182,821.98/224,558.40
  6. Step 6: Final answer
    x = 171,052.09

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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.