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Finding the Fourth Proportional to 134,942, 202,413 and 36,446

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Solution

The fourth proportional to 134,942, 202,413 and 36,446 is: 54,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,942 : 202,413 = 36,446 : x
  2. Step 2: Convert to fraction form
    134,942/202,413 = 36,446/x
  3. Step 3: Cross multiply
    134,942x = 202,413 × 36,446
  4. Step 4: Simplify right side
    134,942x = 7,377,144,198
  5. Step 5: Solve for x
    x = 7,377,144,198/134,942
  6. Step 6: Final answer
    x = 54,669

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.