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Finding the Fourth Proportional to 224,572.82, 309,962.62 and 148,105.74

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Solution

The fourth proportional to 224,572.82, 309,962.62 and 148,105.74 is: 204,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,572.82 : 309,962.62 = 148,105.74 : x
  2. Step 2: Convert to fraction form
    224,572.82/309,962.62 = 148,105.74/x
  3. Step 3: Cross multiply
    224,572.82x = 309,962.62 × 148,105.74
  4. Step 4: Simplify right side
    224,572.82x = 45,907,243,207.44
  5. Step 5: Solve for x
    x = 45,907,243,207.44/224,572.82
  6. Step 6: Final answer
    x = 204,420.30

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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.