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Finding the Fourth Proportional to 105,757.02, 145,954.04 and 58,019.67

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Solution

The fourth proportional to 105,757.02, 145,954.04 and 58,019.67 is: 80,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757.02 : 145,954.04 = 58,019.67 : x
  2. Step 2: Convert to fraction form
    105,757.02/145,954.04 = 58,019.67/x
  3. Step 3: Cross multiply
    105,757.02x = 145,954.04 × 58,019.67
  4. Step 4: Simplify right side
    105,757.02x = 8,468,204,945.87
  5. Step 5: Solve for x
    x = 8,468,204,945.87/105,757.02
  6. Step 6: Final answer
    x = 80,072.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.