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Finding the Fourth Proportional to 138,915, 208,372.32 and 33,733.80

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Solution

The fourth proportional to 138,915, 208,372.32 and 33,733.80 is: 50,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,915 : 208,372.32 = 33,733.80 : x
  2. Step 2: Convert to fraction form
    138,915/208,372.32 = 33,733.80/x
  3. Step 3: Cross multiply
    138,915x = 208,372.32 × 33,733.80
  4. Step 4: Simplify right side
    138,915x = 7,029,190,168.42
  5. Step 5: Solve for x
    x = 7,029,190,168.42/138,915
  6. Step 6: Final answer
    x = 50,600.66

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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.