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Finding the Fourth Proportional to 133,717.86, 200,607.84 and 38,950.29

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Solution

The fourth proportional to 133,717.86, 200,607.84 and 38,950.29 is: 58,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,717.86 : 200,607.84 = 38,950.29 : x
  2. Step 2: Convert to fraction form
    133,717.86/200,607.84 = 38,950.29/x
  3. Step 3: Cross multiply
    133,717.86x = 200,607.84 × 38,950.29
  4. Step 4: Simplify right side
    133,717.86x = 7,813,733,544.27
  5. Step 5: Solve for x
    x = 7,813,733,544.27/133,717.86
  6. Step 6: Final answer
    x = 58,434.48

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Why These Related Problems?

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