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Finding the Fourth Proportional to 242,227.49, 334,238.40 and 145,410.81

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Solution

The fourth proportional to 242,227.49, 334,238.40 and 145,410.81 is: 200,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,227.49 : 334,238.40 = 145,410.81 : x
  2. Step 2: Convert to fraction form
    242,227.49/334,238.40 = 145,410.81/x
  3. Step 3: Cross multiply
    242,227.49x = 334,238.40 × 145,410.81
  4. Step 4: Simplify right side
    242,227.49x = 48,601,876,477.10
  5. Step 5: Solve for x
    x = 48,601,876,477.10/242,227.49
  6. Step 6: Final answer
    x = 200,645.59

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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.