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Finding the Fourth Proportional to 221,670.84, 305,906.12 and 126,177.55

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Solution

The fourth proportional to 221,670.84, 305,906.12 and 126,177.55 is: 174,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,670.84 : 305,906.12 = 126,177.55 : x
  2. Step 2: Convert to fraction form
    221,670.84/305,906.12 = 126,177.55/x
  3. Step 3: Cross multiply
    221,670.84x = 305,906.12 × 126,177.55
  4. Step 4: Simplify right side
    221,670.84x = 38,598,483,829.12
  5. Step 5: Solve for x
    x = 38,598,483,829.12/221,670.84
  6. Step 6: Final answer
    x = 174,125.22

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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.