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Finding the Fourth Proportional to 224,408.12, 336,353.64 and 91,142

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Solution

The fourth proportional to 224,408.12, 336,353.64 and 91,142 is: 136,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,408.12 : 336,353.64 = 91,142 : x
  2. Step 2: Convert to fraction form
    224,408.12/336,353.64 = 91,142/x
  3. Step 3: Cross multiply
    224,408.12x = 336,353.64 × 91,142
  4. Step 4: Simplify right side
    224,408.12x = 30,655,943,456.88
  5. Step 5: Solve for x
    x = 30,655,943,456.88/224,408.12
  6. Step 6: Final answer
    x = 136,608.00

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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.