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Finding the Fourth Proportional to 190,488.70, 285,640.71 and 57,344.14

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Solution

The fourth proportional to 190,488.70, 285,640.71 and 57,344.14 is: 85,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,488.70 : 285,640.71 = 57,344.14 : x
  2. Step 2: Convert to fraction form
    190,488.70/285,640.71 = 57,344.14/x
  3. Step 3: Cross multiply
    190,488.70x = 285,640.71 × 57,344.14
  4. Step 4: Simplify right side
    190,488.70x = 16,379,820,863.94
  5. Step 5: Solve for x
    x = 16,379,820,863.94/190,488.70
  6. Step 6: Final answer
    x = 85,988.41

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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.