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Finding the Fourth Proportional to 227,498.86, 341,457.72 and 115,257.16

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Solution

The fourth proportional to 227,498.86, 341,457.72 and 115,257.16 is: 172,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,498.86 : 341,457.72 = 115,257.16 : x
  2. Step 2: Convert to fraction form
    227,498.86/341,457.72 = 115,257.16/x
  3. Step 3: Cross multiply
    227,498.86x = 341,457.72 × 115,257.16
  4. Step 4: Simplify right side
    227,498.86x = 39,355,447,067.28
  5. Step 5: Solve for x
    x = 39,355,447,067.28/227,498.86
  6. Step 6: Final answer
    x = 172,991.84

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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.