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Finding the Fourth Proportional to 263,361.49, 363,438.42 and 148,664.27

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Solution

The fourth proportional to 263,361.49, 363,438.42 and 148,664.27 is: 205,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,361.49 : 363,438.42 = 148,664.27 : x
  2. Step 2: Convert to fraction form
    263,361.49/363,438.42 = 148,664.27/x
  3. Step 3: Cross multiply
    263,361.49x = 363,438.42 × 148,664.27
  4. Step 4: Simplify right side
    263,361.49x = 54,030,307,399.25
  5. Step 5: Solve for x
    x = 54,030,307,399.25/263,361.49
  6. Step 6: Final answer
    x = 205,156.45

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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.