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Finding the Fourth Proportional to 138,201.30, 190,715.49 and 77,771.88

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Solution

The fourth proportional to 138,201.30, 190,715.49 and 77,771.88 is: 107,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,201.30 : 190,715.49 = 77,771.88 : x
  2. Step 2: Convert to fraction form
    138,201.30/190,715.49 = 77,771.88/x
  3. Step 3: Cross multiply
    138,201.30x = 190,715.49 × 77,771.88
  4. Step 4: Simplify right side
    138,201.30x = 14,832,302,202.42
  5. Step 5: Solve for x
    x = 14,832,302,202.42/138,201.30
  6. Step 6: Final answer
    x = 107,323.90

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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.