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Finding the Fourth Proportional to 139,142.92, 208,713.66 and 33,962.44

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Solution

The fourth proportional to 139,142.92, 208,713.66 and 33,962.44 is: 50,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,142.92 : 208,713.66 = 33,962.44 : x
  2. Step 2: Convert to fraction form
    139,142.92/208,713.66 = 33,962.44/x
  3. Step 3: Cross multiply
    139,142.92x = 208,713.66 × 33,962.44
  4. Step 4: Simplify right side
    139,142.92x = 7,088,425,154.93
  5. Step 5: Solve for x
    x = 7,088,425,154.93/139,142.92
  6. Step 6: Final answer
    x = 50,943.48

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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.