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Finding the Fourth Proportional to 192,851.74, 289,169.28 and 132,130.54

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Solution

The fourth proportional to 192,851.74, 289,169.28 and 132,130.54 is: 198,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,851.74 : 289,169.28 = 132,130.54 : x
  2. Step 2: Convert to fraction form
    192,851.74/289,169.28 = 132,130.54/x
  3. Step 3: Cross multiply
    192,851.74x = 289,169.28 × 132,130.54
  4. Step 4: Simplify right side
    192,851.74x = 38,208,093,117.81
  5. Step 5: Solve for x
    x = 38,208,093,117.81/192,851.74
  6. Step 6: Final answer
    x = 198,121.59

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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.