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Finding the Fourth Proportional to 192,879.65, 289,214 and 153,153.82

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Solution

The fourth proportional to 192,879.65, 289,214 and 153,153.82 is: 229,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,879.65 : 289,214 = 153,153.82 : x
  2. Step 2: Convert to fraction form
    192,879.65/289,214 = 153,153.82/x
  3. Step 3: Cross multiply
    192,879.65x = 289,214 × 153,153.82
  4. Step 4: Simplify right side
    192,879.65x = 44,294,227,451.41
  5. Step 5: Solve for x
    x = 44,294,227,451.41/192,879.65
  6. Step 6: Final answer
    x = 229,646.98

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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.