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Finding the Fourth Proportional to 224,560.74, 309,886.08 and 133,869.90

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Solution

The fourth proportional to 224,560.74, 309,886.08 and 133,869.90 is: 184,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,560.74 : 309,886.08 = 133,869.90 : x
  2. Step 2: Convert to fraction form
    224,560.74/309,886.08 = 133,869.90/x
  3. Step 3: Cross multiply
    224,560.74x = 309,886.08 × 133,869.90
  4. Step 4: Simplify right side
    224,560.74x = 41,484,418,540.99
  5. Step 5: Solve for x
    x = 41,484,418,540.99/224,560.74
  6. Step 6: Final answer
    x = 184,735.85

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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.