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Finding the Fourth Proportional to 307,171.67, 460,724.76 and 107,495.87

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Solution

The fourth proportional to 307,171.67, 460,724.76 and 107,495.87 is: 161,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,171.67 : 460,724.76 = 107,495.87 : x
  2. Step 2: Convert to fraction form
    307,171.67/460,724.76 = 107,495.87/x
  3. Step 3: Cross multiply
    307,171.67x = 460,724.76 × 107,495.87
  4. Step 4: Simplify right side
    307,171.67x = 49,526,006,603.12
  5. Step 5: Solve for x
    x = 49,526,006,603.12/307,171.67
  6. Step 6: Final answer
    x = 161,232.34

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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.