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Finding the Fourth Proportional to 320,748.81, 481,230.06 and 107,537.82

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Solution

The fourth proportional to 320,748.81, 481,230.06 and 107,537.82 is: 161,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,748.81 : 481,230.06 = 107,537.82 : x
  2. Step 2: Convert to fraction form
    320,748.81/481,230.06 = 107,537.82/x
  3. Step 3: Cross multiply
    320,748.81x = 481,230.06 × 107,537.82
  4. Step 4: Simplify right side
    320,748.81x = 51,750,429,164.72
  5. Step 5: Solve for x
    x = 51,750,429,164.72/320,748.81
  6. Step 6: Final answer
    x = 161,342.55

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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.