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Finding the Fourth Proportional to 190,393.74, 285,562.71 and 50,152.14

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Solution

The fourth proportional to 190,393.74, 285,562.71 and 50,152.14 is: 75,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,393.74 : 285,562.71 = 50,152.14 : x
  2. Step 2: Convert to fraction form
    190,393.74/285,562.71 = 50,152.14/x
  3. Step 3: Cross multiply
    190,393.74x = 285,562.71 × 50,152.14
  4. Step 4: Simplify right side
    190,393.74x = 14,321,581,010.70
  5. Step 5: Solve for x
    x = 14,321,581,010.70/190,393.74
  6. Step 6: Final answer
    x = 75,220.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.