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Finding the Fourth Proportional to 152,674.92, 228,650.31 and 120,983.09

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Solution

The fourth proportional to 152,674.92, 228,650.31 and 120,983.09 is: 181,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,674.92 : 228,650.31 = 120,983.09 : x
  2. Step 2: Convert to fraction form
    152,674.92/228,650.31 = 120,983.09/x
  3. Step 3: Cross multiply
    152,674.92x = 228,650.31 × 120,983.09
  4. Step 4: Simplify right side
    152,674.92x = 27,662,819,890.01
  5. Step 5: Solve for x
    x = 27,662,819,890.01/152,674.92
  6. Step 6: Final answer
    x = 181,187.71

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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.