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Finding the Fourth Proportional to 224,525.81, 336,960.03 and 82,505.67

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Solution

The fourth proportional to 224,525.81, 336,960.03 and 82,505.67 is: 123,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,525.81 : 336,960.03 = 82,505.67 : x
  2. Step 2: Convert to fraction form
    224,525.81/336,960.03 = 82,505.67/x
  3. Step 3: Cross multiply
    224,525.81x = 336,960.03 × 82,505.67
  4. Step 4: Simplify right side
    224,525.81x = 27,801,113,038.37
  5. Step 5: Solve for x
    x = 27,801,113,038.37/224,525.81
  6. Step 6: Final answer
    x = 123,821.46

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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.