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Finding the Fourth Proportional to 106,361.19, 146,776.56 and 57,963.54

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Solution

The fourth proportional to 106,361.19, 146,776.56 and 57,963.54 is: 79,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,361.19 : 146,776.56 = 57,963.54 : x
  2. Step 2: Convert to fraction form
    106,361.19/146,776.56 = 57,963.54/x
  3. Step 3: Cross multiply
    106,361.19x = 146,776.56 × 57,963.54
  4. Step 4: Simplify right side
    106,361.19x = 8,507,689,006.62
  5. Step 5: Solve for x
    x = 8,507,689,006.62/106,361.19
  6. Step 6: Final answer
    x = 79,988.66

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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.