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Finding the Fourth Proportional to 100,000.17, 138,000.26 and 54,682.34

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Solution

The fourth proportional to 100,000.17, 138,000.26 and 54,682.34 is: 75,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,000.17 : 138,000.26 = 54,682.34 : x
  2. Step 2: Convert to fraction form
    100,000.17/138,000.26 = 54,682.34/x
  3. Step 3: Cross multiply
    100,000.17x = 138,000.26 × 54,682.34
  4. Step 4: Simplify right side
    100,000.17x = 7,546,177,052.78
  5. Step 5: Solve for x
    x = 7,546,177,052.78/100,000.17
  6. Step 6: Final answer
    x = 75,461.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.