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Finding the Fourth Proportional to 192,146.99, 288,219.83 and 51,905.61

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Solution

The fourth proportional to 192,146.99, 288,219.83 and 51,905.61 is: 77,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,146.99 : 288,219.83 = 51,905.61 : x
  2. Step 2: Convert to fraction form
    192,146.99/288,219.83 = 51,905.61/x
  3. Step 3: Cross multiply
    192,146.99x = 288,219.83 × 51,905.61
  4. Step 4: Simplify right side
    192,146.99x = 14,960,225,830.72
  5. Step 5: Solve for x
    x = 14,960,225,830.72/192,146.99
  6. Step 6: Final answer
    x = 77,858.24

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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.