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Finding the Fourth Proportional to 209,243.37, 288,737.38 and 116,111.44

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Solution

The fourth proportional to 209,243.37, 288,737.38 and 116,111.44 is: 160,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,243.37 : 288,737.38 = 116,111.44 : x
  2. Step 2: Convert to fraction form
    209,243.37/288,737.38 = 116,111.44/x
  3. Step 3: Cross multiply
    209,243.37x = 288,737.38 × 116,111.44
  4. Step 4: Simplify right side
    209,243.37x = 33,525,711,855.54
  5. Step 5: Solve for x
    x = 33,525,711,855.54/209,243.37
  6. Step 6: Final answer
    x = 160,223.53

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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.