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Finding the Fourth Proportional to 307,093.12, 460,773.54 and 107,556.64

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Solution

The fourth proportional to 307,093.12, 460,773.54 and 107,556.64 is: 161,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,093.12 : 460,773.54 = 107,556.64 : x
  2. Step 2: Convert to fraction form
    307,093.12/460,773.54 = 107,556.64/x
  3. Step 3: Cross multiply
    307,093.12x = 460,773.54 × 107,556.64
  4. Step 4: Simplify right side
    307,093.12x = 49,559,253,763.31
  5. Step 5: Solve for x
    x = 49,559,253,763.31/307,093.12
  6. Step 6: Final answer
    x = 161,381.84

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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.