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Finding the Fourth Proportional to 227,120.16, 313,421.76 and 126,516

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Solution

The fourth proportional to 227,120.16, 313,421.76 and 126,516 is: 174,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,120.16 : 313,421.76 = 126,516 : x
  2. Step 2: Convert to fraction form
    227,120.16/313,421.76 = 126,516/x
  3. Step 3: Cross multiply
    227,120.16x = 313,421.76 × 126,516
  4. Step 4: Simplify right side
    227,120.16x = 39,652,867,388.16
  5. Step 5: Solve for x
    x = 39,652,867,388.16/227,120.16
  6. Step 6: Final answer
    x = 174,589.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.