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Finding the Fourth Proportional to 279,912.60, 419,868.90 and 102,546.90

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Solution

The fourth proportional to 279,912.60, 419,868.90 and 102,546.90 is: 153,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,912.60 : 419,868.90 = 102,546.90 : x
  2. Step 2: Convert to fraction form
    279,912.60/419,868.90 = 102,546.90/x
  3. Step 3: Cross multiply
    279,912.60x = 419,868.90 × 102,546.90
  4. Step 4: Simplify right side
    279,912.60x = 43,056,254,101.41
  5. Step 5: Solve for x
    x = 43,056,254,101.41/279,912.60
  6. Step 6: Final answer
    x = 153,820.35

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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.