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Finding the Fourth Proportional to 190,057.59, 285,087.60 and 49,815

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Solution

The fourth proportional to 190,057.59, 285,087.60 and 49,815 is: 74,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,057.59 : 285,087.60 = 49,815 : x
  2. Step 2: Convert to fraction form
    190,057.59/285,087.60 = 49,815/x
  3. Step 3: Cross multiply
    190,057.59x = 285,087.60 × 49,815
  4. Step 4: Simplify right side
    190,057.59x = 14,201,638,794.00
  5. Step 5: Solve for x
    x = 14,201,638,794.00/190,057.59
  6. Step 6: Final answer
    x = 74,722.82

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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.