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Finding the Fourth Proportional to 307,172.42, 460,725.89 and 107,496.62

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Solution

The fourth proportional to 307,172.42, 460,725.89 and 107,496.62 is: 161,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,172.42 : 460,725.89 = 107,496.62 : x
  2. Step 2: Convert to fraction form
    307,172.42/460,725.89 = 107,496.62/x
  3. Step 3: Cross multiply
    307,172.42x = 460,725.89 × 107,496.62
  4. Step 4: Simplify right side
    307,172.42x = 49,526,473,080.38
  5. Step 5: Solve for x
    x = 49,526,473,080.38/307,172.42
  6. Step 6: Final answer
    x = 161,233.47

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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.