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Finding the Fourth Proportional to 106,462.50, 159,361.58 and 78,414.22

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Solution

The fourth proportional to 106,462.50, 159,361.58 and 78,414.22 is: 117,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.50 : 159,361.58 = 78,414.22 : x
  2. Step 2: Convert to fraction form
    106,462.50/159,361.58 = 78,414.22/x
  3. Step 3: Cross multiply
    106,462.50x = 159,361.58 × 78,414.22
  4. Step 4: Simplify right side
    106,462.50x = 12,496,213,993.67
  5. Step 5: Solve for x
    x = 12,496,213,993.67/106,462.50
  6. Step 6: Final answer
    x = 117,376.67

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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.