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Finding the Fourth Proportional to 194,893.60, 268,954 and 105,469.60

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Solution

The fourth proportional to 194,893.60, 268,954 and 105,469.60 is: 145,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,893.60 : 268,954 = 105,469.60 : x
  2. Step 2: Convert to fraction form
    194,893.60/268,954 = 105,469.60/x
  3. Step 3: Cross multiply
    194,893.60x = 268,954 × 105,469.60
  4. Step 4: Simplify right side
    194,893.60x = 28,366,470,798.40
  5. Step 5: Solve for x
    x = 28,366,470,798.40/194,893.60
  6. Step 6: Final answer
    x = 145,548.50

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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.