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Finding the Fourth Proportional to 192,106.79, 288,156.11 and 64,032.33

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Solution

The fourth proportional to 192,106.79, 288,156.11 and 64,032.33 is: 96,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,106.79 : 288,156.11 = 64,032.33 : x
  2. Step 2: Convert to fraction form
    192,106.79/288,156.11 = 64,032.33/x
  3. Step 3: Cross multiply
    192,106.79x = 288,156.11 × 64,032.33
  4. Step 4: Simplify right side
    192,106.79x = 18,451,306,806.87
  5. Step 5: Solve for x
    x = 18,451,306,806.87/192,106.79
  6. Step 6: Final answer
    x = 96,047.14

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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.