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Finding the Fourth Proportional to 105,157.44, 157,768.56 and 36,775.92

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Solution

The fourth proportional to 105,157.44, 157,768.56 and 36,775.92 is: 55,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,157.44 : 157,768.56 = 36,775.92 : x
  2. Step 2: Convert to fraction form
    105,157.44/157,768.56 = 36,775.92/x
  3. Step 3: Cross multiply
    105,157.44x = 157,768.56 × 36,775.92
  4. Step 4: Simplify right side
    105,157.44x = 5,802,083,941.08
  5. Step 5: Solve for x
    x = 5,802,083,941.08/105,157.44
  6. Step 6: Final answer
    x = 55,175.21

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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.