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Finding the Fourth Proportional to 99,361.76, 149,043.72 and 29,242.40

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Solution

The fourth proportional to 99,361.76, 149,043.72 and 29,242.40 is: 43,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,361.76 : 149,043.72 = 29,242.40 : x
  2. Step 2: Convert to fraction form
    99,361.76/149,043.72 = 29,242.40/x
  3. Step 3: Cross multiply
    99,361.76x = 149,043.72 × 29,242.40
  4. Step 4: Simplify right side
    99,361.76x = 4,358,396,077.73
  5. Step 5: Solve for x
    x = 4,358,396,077.73/99,361.76
  6. Step 6: Final answer
    x = 43,863.92

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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.