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Finding the Fourth Proportional to 298,996.70, 448,678.13 and 119,168.37

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Solution

The fourth proportional to 298,996.70, 448,678.13 and 119,168.37 is: 178,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,996.70 : 448,678.13 = 119,168.37 : x
  2. Step 2: Convert to fraction form
    298,996.70/448,678.13 = 119,168.37/x
  3. Step 3: Cross multiply
    298,996.70x = 448,678.13 × 119,168.37
  4. Step 4: Simplify right side
    298,996.70x = 53,468,240,810.91
  5. Step 5: Solve for x
    x = 53,468,240,810.91/298,996.70
  6. Step 6: Final answer
    x = 178,825.52

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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.