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Finding the Fourth Proportional to 229,422.41, 344,133.62 and 89,213.84

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Solution

The fourth proportional to 229,422.41, 344,133.62 and 89,213.84 is: 133,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,422.41 : 344,133.62 = 89,213.84 : x
  2. Step 2: Convert to fraction form
    229,422.41/344,133.62 = 89,213.84/x
  3. Step 3: Cross multiply
    229,422.41x = 344,133.62 × 89,213.84
  4. Step 4: Simplify right side
    229,422.41x = 30,701,481,267.23
  5. Step 5: Solve for x
    x = 30,701,481,267.23/229,422.41
  6. Step 6: Final answer
    x = 133,820.76

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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.