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Finding the Fourth Proportional to 307,137.71, 460,772.18 and 107,464.61

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Solution

The fourth proportional to 307,137.71, 460,772.18 and 107,464.61 is: 161,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,137.71 : 460,772.18 = 107,464.61 : x
  2. Step 2: Convert to fraction form
    307,137.71/460,772.18 = 107,464.61/x
  3. Step 3: Cross multiply
    307,137.71x = 460,772.18 × 107,464.61
  4. Step 4: Simplify right side
    307,137.71x = 49,516,699,781.37
  5. Step 5: Solve for x
    x = 49,516,699,781.37/307,137.71
  6. Step 6: Final answer
    x = 161,219.87

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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.