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Finding the Fourth Proportional to 273,118, 409,677.24 and 76,126

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Solution

The fourth proportional to 273,118, 409,677.24 and 76,126 is: 114,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,118 : 409,677.24 = 76,126 : x
  2. Step 2: Convert to fraction form
    273,118/409,677.24 = 76,126/x
  3. Step 3: Cross multiply
    273,118x = 409,677.24 × 76,126
  4. Step 4: Simplify right side
    273,118x = 31,187,089,572.24
  5. Step 5: Solve for x
    x = 31,187,089,572.24/273,118
  6. Step 6: Final answer
    x = 114,189.07

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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.