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Finding the Fourth Proportional to 169,419.42, 253,629.84 and 148,400.58

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Solution

The fourth proportional to 169,419.42, 253,629.84 and 148,400.58 is: 222,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,419.42 : 253,629.84 = 148,400.58 : x
  2. Step 2: Convert to fraction form
    169,419.42/253,629.84 = 148,400.58/x
  3. Step 3: Cross multiply
    169,419.42x = 253,629.84 × 148,400.58
  4. Step 4: Simplify right side
    169,419.42x = 37,638,815,361.31
  5. Step 5: Solve for x
    x = 37,638,815,361.31/169,419.42
  6. Step 6: Final answer
    x = 222,163.52

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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.