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Finding the Fourth Proportional to 105,223.44, 157,858.49 and 30,337.75

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Solution

The fourth proportional to 105,223.44, 157,858.49 and 30,337.75 is: 45,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223.44 : 157,858.49 = 30,337.75 : x
  2. Step 2: Convert to fraction form
    105,223.44/157,858.49 = 30,337.75/x
  3. Step 3: Cross multiply
    105,223.44x = 157,858.49 × 30,337.75
  4. Step 4: Simplify right side
    105,223.44x = 4,789,070,619.56
  5. Step 5: Solve for x
    x = 4,789,070,619.56/105,223.44
  6. Step 6: Final answer
    x = 45,513.34

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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.