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Finding the Fourth Proportional to 209,984.94, 289,772.91 and 114,493.50

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Solution

The fourth proportional to 209,984.94, 289,772.91 and 114,493.50 is: 157,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,984.94 : 289,772.91 = 114,493.50 : x
  2. Step 2: Convert to fraction form
    209,984.94/289,772.91 = 114,493.50/x
  3. Step 3: Cross multiply
    209,984.94x = 289,772.91 × 114,493.50
  4. Step 4: Simplify right side
    209,984.94x = 33,177,114,671.09
  5. Step 5: Solve for x
    x = 33,177,114,671.09/209,984.94
  6. Step 6: Final answer
    x = 157,997.59

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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.