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Finding the Fourth Proportional to 138,837.84, 208,213.70 and 50,079.80

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Solution

The fourth proportional to 138,837.84, 208,213.70 and 50,079.80 is: 75,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,837.84 : 208,213.70 = 50,079.80 : x
  2. Step 2: Convert to fraction form
    138,837.84/208,213.70 = 50,079.80/x
  3. Step 3: Cross multiply
    138,837.84x = 208,213.70 × 50,079.80
  4. Step 4: Simplify right side
    138,837.84x = 10,427,299,161.79
  5. Step 5: Solve for x
    x = 10,427,299,161.79/138,837.84
  6. Step 6: Final answer
    x = 75,104.16

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1.5x scale

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.