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Finding the Fourth Proportional to 138,923.91, 208,385.60 and 33,742.98

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Solution

The fourth proportional to 138,923.91, 208,385.60 and 33,742.98 is: 50,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,923.91 : 208,385.60 = 33,742.98 : x
  2. Step 2: Convert to fraction form
    138,923.91/208,385.60 = 33,742.98/x
  3. Step 3: Cross multiply
    138,923.91x = 208,385.60 × 33,742.98
  4. Step 4: Simplify right side
    138,923.91x = 7,031,550,964.37
  5. Step 5: Solve for x
    x = 7,031,550,964.37/138,923.91
  6. Step 6: Final answer
    x = 50,614.40

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