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Finding the Fourth Proportional to 274,113.72, 411,066.90 and 107,811

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Solution

The fourth proportional to 274,113.72, 411,066.90 and 107,811 is: 161,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,113.72 : 411,066.90 = 107,811 : x
  2. Step 2: Convert to fraction form
    274,113.72/411,066.90 = 107,811/x
  3. Step 3: Cross multiply
    274,113.72x = 411,066.90 × 107,811
  4. Step 4: Simplify right side
    274,113.72x = 44,317,533,555.90
  5. Step 5: Solve for x
    x = 44,317,533,555.90/274,113.72
  6. Step 6: Final answer
    x = 161,675.72

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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.