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Finding the Fourth Proportional to 221,459.24, 305,614.14 and 120,857.24

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Solution

The fourth proportional to 221,459.24, 305,614.14 and 120,857.24 is: 166,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,459.24 : 305,614.14 = 120,857.24 : x
  2. Step 2: Convert to fraction form
    221,459.24/305,614.14 = 120,857.24/x
  3. Step 3: Cross multiply
    221,459.24x = 305,614.14 × 120,857.24
  4. Step 4: Simplify right side
    221,459.24x = 36,935,681,465.37
  5. Step 5: Solve for x
    x = 36,935,681,465.37/221,459.24
  6. Step 6: Final answer
    x = 166,783.20

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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.