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Finding the Fourth Proportional to 190,497.57, 285,793.87 and 134,447.16

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Solution

The fourth proportional to 190,497.57, 285,793.87 and 134,447.16 is: 201,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,497.57 : 285,793.87 = 134,447.16 : x
  2. Step 2: Convert to fraction form
    190,497.57/285,793.87 = 134,447.16/x
  3. Step 3: Cross multiply
    190,497.57x = 285,793.87 × 134,447.16
  4. Step 4: Simplify right side
    190,497.57x = 38,424,174,166.91
  5. Step 5: Solve for x
    x = 38,424,174,166.91/190,497.57
  6. Step 6: Final answer
    x = 201,704.27

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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.