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Finding the Fourth Proportional to 192,093.80, 288,140.70 and 67,434.80

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Solution

The fourth proportional to 192,093.80, 288,140.70 and 67,434.80 is: 101,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,093.80 : 288,140.70 = 67,434.80 : x
  2. Step 2: Convert to fraction form
    192,093.80/288,140.70 = 67,434.80/x
  3. Step 3: Cross multiply
    192,093.80x = 288,140.70 × 67,434.80
  4. Step 4: Simplify right side
    192,093.80x = 19,430,710,476.36
  5. Step 5: Solve for x
    x = 19,430,710,476.36/192,093.80
  6. Step 6: Final answer
    x = 101,152.20

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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.