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Finding the Fourth Proportional to 229,381.80, 344,072.75 and 71,623.77

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Solution

The fourth proportional to 229,381.80, 344,072.75 and 71,623.77 is: 107,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,381.80 : 344,072.75 = 71,623.77 : x
  2. Step 2: Convert to fraction form
    229,381.80/344,072.75 = 71,623.77/x
  3. Step 3: Cross multiply
    229,381.80x = 344,072.75 × 71,623.77
  4. Step 4: Simplify right side
    229,381.80x = 24,643,787,151.15
  5. Step 5: Solve for x
    x = 24,643,787,151.15/229,381.80
  6. Step 6: Final answer
    x = 107,435.67

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Why These Related Problems?

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