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Finding the Fourth Proportional to 114,515.82, 171,883.08 and 70,229.07

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Solution

The fourth proportional to 114,515.82, 171,883.08 and 70,229.07 is: 105,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,515.82 : 171,883.08 = 70,229.07 : x
  2. Step 2: Convert to fraction form
    114,515.82/171,883.08 = 70,229.07/x
  3. Step 3: Cross multiply
    114,515.82x = 171,883.08 × 70,229.07
  4. Step 4: Simplify right side
    114,515.82x = 12,071,188,857.14
  5. Step 5: Solve for x
    x = 12,071,188,857.14/114,515.82
  6. Step 6: Final answer
    x = 105,410.67

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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.