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Finding the Fourth Proportional to 221,997.12, 306,263.16 and 145,534.56

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Solution

The fourth proportional to 221,997.12, 306,263.16 and 145,534.56 is: 200,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,997.12 : 306,263.16 = 145,534.56 : x
  2. Step 2: Convert to fraction form
    221,997.12/306,263.16 = 145,534.56/x
  3. Step 3: Cross multiply
    221,997.12x = 306,263.16 × 145,534.56
  4. Step 4: Simplify right side
    221,997.12x = 44,571,874,234.81
  5. Step 5: Solve for x
    x = 44,571,874,234.81/221,997.12
  6. Step 6: Final answer
    x = 200,776.81

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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.