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Finding the Fourth Proportional to 227,662.60, 341,461.78 and 143,165.12

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Solution

The fourth proportional to 227,662.60, 341,461.78 and 143,165.12 is: 214,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,662.60 : 341,461.78 = 143,165.12 : x
  2. Step 2: Convert to fraction form
    227,662.60/341,461.78 = 143,165.12/x
  3. Step 3: Cross multiply
    227,662.60x = 341,461.78 × 143,165.12
  4. Step 4: Simplify right side
    227,662.60x = 48,885,416,564.61
  5. Step 5: Solve for x
    x = 48,885,416,564.61/227,662.60
  6. Step 6: Final answer
    x = 214,727.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.