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Finding the Fourth Proportional to 138,434.70, 193,939.80 and 138,434.70

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Solution

The fourth proportional to 138,434.70, 193,939.80 and 138,434.70 is: 193,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,434.70 : 193,939.80 = 138,434.70 : x
  2. Step 2: Convert to fraction form
    138,434.70/193,939.80 = 138,434.70/x
  3. Step 3: Cross multiply
    138,434.70x = 193,939.80 × 138,434.70
  4. Step 4: Simplify right side
    138,434.70x = 26,847,998,031.06
  5. Step 5: Solve for x
    x = 26,847,998,031.06/138,434.70
  6. Step 6: Final answer
    x = 193,939.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.