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Finding the Fourth Proportional to 128,222.44, 192,314.20 and 45,097

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Solution

The fourth proportional to 128,222.44, 192,314.20 and 45,097 is: 67,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,222.44 : 192,314.20 = 45,097 : x
  2. Step 2: Convert to fraction form
    128,222.44/192,314.20 = 45,097/x
  3. Step 3: Cross multiply
    128,222.44x = 192,314.20 × 45,097
  4. Step 4: Simplify right side
    128,222.44x = 8,672,793,477.40
  5. Step 5: Solve for x
    x = 8,672,793,477.40/128,222.44
  6. Step 6: Final answer
    x = 67,638.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.