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Finding the Fourth Proportional to 273,003.60, 409,408.20 and 123,315.60

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Solution

The fourth proportional to 273,003.60, 409,408.20 and 123,315.60 is: 184,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,003.60 : 409,408.20 = 123,315.60 : x
  2. Step 2: Convert to fraction form
    273,003.60/409,408.20 = 123,315.60/x
  3. Step 3: Cross multiply
    273,003.60x = 409,408.20 × 123,315.60
  4. Step 4: Simplify right side
    273,003.60x = 50,486,417,827.92
  5. Step 5: Solve for x
    x = 50,486,417,827.92/273,003.60
  6. Step 6: Final answer
    x = 184,929.49

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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.