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Finding the Fourth Proportional to 291,735.48, 437,564.33 and 81,355.80

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Solution

The fourth proportional to 291,735.48, 437,564.33 and 81,355.80 is: 122,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,735.48 : 437,564.33 = 81,355.80 : x
  2. Step 2: Convert to fraction form
    291,735.48/437,564.33 = 81,355.80/x
  3. Step 3: Cross multiply
    291,735.48x = 437,564.33 × 81,355.80
  4. Step 4: Simplify right side
    291,735.48x = 35,598,396,118.61
  5. Step 5: Solve for x
    x = 35,598,396,118.61/291,735.48
  6. Step 6: Final answer
    x = 122,022.85

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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.