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Finding the Fourth Proportional to 190,715.82, 286,087.77 and 50,473.50

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Solution

The fourth proportional to 190,715.82, 286,087.77 and 50,473.50 is: 75,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,715.82 : 286,087.77 = 50,473.50 : x
  2. Step 2: Convert to fraction form
    190,715.82/286,087.77 = 50,473.50/x
  3. Step 3: Cross multiply
    190,715.82x = 286,087.77 × 50,473.50
  4. Step 4: Simplify right side
    190,715.82x = 14,439,851,059.10
  5. Step 5: Solve for x
    x = 14,439,851,059.10/190,715.82
  6. Step 6: Final answer
    x = 75,713.97

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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.