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Finding the Fourth Proportional to 320,165.95, 441,846.02 and 184,220.55

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Solution

The fourth proportional to 320,165.95, 441,846.02 and 184,220.55 is: 254,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,165.95 : 441,846.02 = 184,220.55 : x
  2. Step 2: Convert to fraction form
    320,165.95/441,846.02 = 184,220.55/x
  3. Step 3: Cross multiply
    320,165.95x = 441,846.02 × 184,220.55
  4. Step 4: Simplify right side
    320,165.95x = 81,397,115,898.61
  5. Step 5: Solve for x
    x = 81,397,115,898.61/320,165.95
  6. Step 6: Final answer
    x = 254,234.14

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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.