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Finding the Fourth Proportional to 138,984.52, 208,476.78 and 33,803.56

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Solution

The fourth proportional to 138,984.52, 208,476.78 and 33,803.56 is: 50,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,984.52 : 208,476.78 = 33,803.56 : x
  2. Step 2: Convert to fraction form
    138,984.52/208,476.78 = 33,803.56/x
  3. Step 3: Cross multiply
    138,984.52x = 208,476.78 × 33,803.56
  4. Step 4: Simplify right side
    138,984.52x = 7,047,257,341.34
  5. Step 5: Solve for x
    x = 7,047,257,341.34/138,984.52
  6. Step 6: Final answer
    x = 50,705.34

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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.