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Finding the Fourth Proportional to 209,292.69, 313,936.47 and 51,522.51

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Solution

The fourth proportional to 209,292.69, 313,936.47 and 51,522.51 is: 77,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,292.69 : 313,936.47 = 51,522.51 : x
  2. Step 2: Convert to fraction form
    209,292.69/313,936.47 = 51,522.51/x
  3. Step 3: Cross multiply
    209,292.69x = 313,936.47 × 51,522.51
  4. Step 4: Simplify right side
    209,292.69x = 16,174,794,914.94
  5. Step 5: Solve for x
    x = 16,174,794,914.94/209,292.69
  6. Step 6: Final answer
    x = 77,283.13

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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.