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Finding the Fourth Proportional to 106,881.88, 160,361.72 and 50,739.16

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Solution

The fourth proportional to 106,881.88, 160,361.72 and 50,739.16 is: 76,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,881.88 : 160,361.72 = 50,739.16 : x
  2. Step 2: Convert to fraction form
    106,881.88/160,361.72 = 50,739.16/x
  3. Step 3: Cross multiply
    106,881.88x = 160,361.72 × 50,739.16
  4. Step 4: Simplify right side
    106,881.88x = 8,136,618,968.96
  5. Step 5: Solve for x
    x = 8,136,618,968.96/106,881.88
  6. Step 6: Final answer
    x = 76,127.21

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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.