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Finding the Fourth Proportional to 145,704.96, 218,626.56 and 86,657.04

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Solution

The fourth proportional to 145,704.96, 218,626.56 and 86,657.04 is: 130,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,704.96 : 218,626.56 = 86,657.04 : x
  2. Step 2: Convert to fraction form
    145,704.96/218,626.56 = 86,657.04/x
  3. Step 3: Cross multiply
    145,704.96x = 218,626.56 × 86,657.04
  4. Step 4: Simplify right side
    145,704.96x = 18,945,530,554.98
  5. Step 5: Solve for x
    x = 18,945,530,554.98/145,704.96
  6. Step 6: Final answer
    x = 130,026.67

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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.