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Finding the Fourth Proportional to 164,076.60, 246,114.90 and 146,361.90

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Solution

The fourth proportional to 164,076.60, 246,114.90 and 146,361.90 is: 219,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,076.60 : 246,114.90 = 146,361.90 : x
  2. Step 2: Convert to fraction form
    164,076.60/246,114.90 = 146,361.90/x
  3. Step 3: Cross multiply
    164,076.60x = 246,114.90 × 146,361.90
  4. Step 4: Simplify right side
    164,076.60x = 36,021,844,382.31
  5. Step 5: Solve for x
    x = 36,021,844,382.31/164,076.60
  6. Step 6: Final answer
    x = 219,542.85

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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.