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Finding the Fourth Proportional to 209,843.84, 289,584.51 and 114,350.51

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Solution

The fourth proportional to 209,843.84, 289,584.51 and 114,350.51 is: 157,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,843.84 : 289,584.51 = 114,350.51 : x
  2. Step 2: Convert to fraction form
    209,843.84/289,584.51 = 114,350.51/x
  3. Step 3: Cross multiply
    209,843.84x = 289,584.51 × 114,350.51
  4. Step 4: Simplify right side
    209,843.84x = 33,114,136,406.60
  5. Step 5: Solve for x
    x = 33,114,136,406.60/209,843.84
  6. Step 6: Final answer
    x = 157,803.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.