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Finding the Fourth Proportional to 190,576.60, 263,011.86 and 105,721

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Solution

The fourth proportional to 190,576.60, 263,011.86 and 105,721 is: 145,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,576.60 : 263,011.86 = 105,721 : x
  2. Step 2: Convert to fraction form
    190,576.60/263,011.86 = 105,721/x
  3. Step 3: Cross multiply
    190,576.60x = 263,011.86 × 105,721
  4. Step 4: Simplify right side
    190,576.60x = 27,805,876,851.06
  5. Step 5: Solve for x
    x = 27,805,876,851.06/190,576.60
  6. Step 6: Final answer
    x = 145,903.94

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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.