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Finding the Fourth Proportional to 217,015.12, 299,500.50 and 120,228.22

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Solution

The fourth proportional to 217,015.12, 299,500.50 and 120,228.22 is: 165,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,015.12 : 299,500.50 = 120,228.22 : x
  2. Step 2: Convert to fraction form
    217,015.12/299,500.50 = 120,228.22/x
  3. Step 3: Cross multiply
    217,015.12x = 299,500.50 × 120,228.22
  4. Step 4: Simplify right side
    217,015.12x = 36,008,412,004.11
  5. Step 5: Solve for x
    x = 36,008,412,004.11/217,015.12
  6. Step 6: Final answer
    x = 165,925.82

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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.