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Finding the Fourth Proportional to 86,896.80, 130,114.80 and 68,464.80

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Solution

The fourth proportional to 86,896.80, 130,114.80 and 68,464.80 is: 102,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,896.80 : 130,114.80 = 68,464.80 : x
  2. Step 2: Convert to fraction form
    86,896.80/130,114.80 = 68,464.80/x
  3. Step 3: Cross multiply
    86,896.80x = 130,114.80 × 68,464.80
  4. Step 4: Simplify right side
    86,896.80x = 8,908,283,759.04
  5. Step 5: Solve for x
    x = 8,908,283,759.04/86,896.80
  6. Step 6: Final answer
    x = 102,515.67

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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.