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Finding the Fourth Proportional to 99,906.64, 149,860.08 and 29,784.22

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Solution

The fourth proportional to 99,906.64, 149,860.08 and 29,784.22 is: 44,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,906.64 : 149,860.08 = 29,784.22 : x
  2. Step 2: Convert to fraction form
    99,906.64/149,860.08 = 29,784.22/x
  3. Step 3: Cross multiply
    99,906.64x = 149,860.08 × 29,784.22
  4. Step 4: Simplify right side
    99,906.64x = 4,463,465,591.94
  5. Step 5: Solve for x
    x = 4,463,465,591.94/99,906.64
  6. Step 6: Final answer
    x = 44,676.37

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1.5x scale

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.