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Finding the Fourth Proportional to 307,121.41, 460,747.71 and 107,448.31

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Solution

The fourth proportional to 307,121.41, 460,747.71 and 107,448.31 is: 161,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,121.41 : 460,747.71 = 107,448.31 : x
  2. Step 2: Convert to fraction form
    307,121.41/460,747.71 = 107,448.31/x
  3. Step 3: Cross multiply
    307,121.41x = 460,747.71 × 107,448.31
  4. Step 4: Simplify right side
    307,121.41x = 49,506,562,775.87
  5. Step 5: Solve for x
    x = 49,506,562,775.87/307,121.41
  6. Step 6: Final answer
    x = 161,195.41

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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.