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Finding the Fourth Proportional to 138,199.50, 190,716.08 and 77,771.16

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Solution

The fourth proportional to 138,199.50, 190,716.08 and 77,771.16 is: 107,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,199.50 : 190,716.08 = 77,771.16 : x
  2. Step 2: Convert to fraction form
    138,199.50/190,716.08 = 77,771.16/x
  3. Step 3: Cross multiply
    138,199.50x = 190,716.08 × 77,771.16
  4. Step 4: Simplify right side
    138,199.50x = 14,832,210,383.40
  5. Step 5: Solve for x
    x = 14,832,210,383.40/138,199.50
  6. Step 6: Final answer
    x = 107,324.63

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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.