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Finding the Fourth Proportional to 274,353.48, 411,546.29 and 105,874.70

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Solution

The fourth proportional to 274,353.48, 411,546.29 and 105,874.70 is: 158,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,353.48 : 411,546.29 = 105,874.70 : x
  2. Step 2: Convert to fraction form
    274,353.48/411,546.29 = 105,874.70/x
  3. Step 3: Cross multiply
    274,353.48x = 411,546.29 × 105,874.70
  4. Step 4: Simplify right side
    274,353.48x = 43,572,337,402.76
  5. Step 5: Solve for x
    x = 43,572,337,402.76/274,353.48
  6. Step 6: Final answer
    x = 158,818.24

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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.