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Finding the Fourth Proportional to 128,204.36, 192,271.98 and 58,013

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Solution

The fourth proportional to 128,204.36, 192,271.98 and 58,013 is: 87,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,204.36 : 192,271.98 = 58,013 : x
  2. Step 2: Convert to fraction form
    128,204.36/192,271.98 = 58,013/x
  3. Step 3: Cross multiply
    128,204.36x = 192,271.98 × 58,013
  4. Step 4: Simplify right side
    128,204.36x = 11,154,274,375.74
  5. Step 5: Solve for x
    x = 11,154,274,375.74/128,204.36
  6. Step 6: Final answer
    x = 87,003.86

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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.