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Finding the Fourth Proportional to 307,171.42, 460,724.38 and 107,495.62

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Solution

The fourth proportional to 307,171.42, 460,724.38 and 107,495.62 is: 161,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,171.42 : 460,724.38 = 107,495.62 : x
  2. Step 2: Convert to fraction form
    307,171.42/460,724.38 = 107,495.62/x
  3. Step 3: Cross multiply
    307,171.42x = 460,724.38 × 107,495.62
  4. Step 4: Simplify right side
    307,171.42x = 49,525,852,877.22
  5. Step 5: Solve for x
    x = 49,525,852,877.22/307,171.42
  6. Step 6: Final answer
    x = 161,231.97

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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.