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Finding the Fourth Proportional to 99,408.60, 149,112.90 and 29,287.80

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Solution

The fourth proportional to 99,408.60, 149,112.90 and 29,287.80 is: 43,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,408.60 : 149,112.90 = 29,287.80 : x
  2. Step 2: Convert to fraction form
    99,408.60/149,112.90 = 29,287.80/x
  3. Step 3: Cross multiply
    99,408.60x = 149,112.90 × 29,287.80
  4. Step 4: Simplify right side
    99,408.60x = 4,367,188,792.62
  5. Step 5: Solve for x
    x = 4,367,188,792.62/99,408.60
  6. Step 6: Final answer
    x = 43,931.70

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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.