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Finding the Fourth Proportional to 146,020.37, 201,506.04 and 82,378.67

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Solution

The fourth proportional to 146,020.37, 201,506.04 and 82,378.67 is: 113,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,020.37 : 201,506.04 = 82,378.67 : x
  2. Step 2: Convert to fraction form
    146,020.37/201,506.04 = 82,378.67/x
  3. Step 3: Cross multiply
    146,020.37x = 201,506.04 × 82,378.67
  4. Step 4: Simplify right side
    146,020.37x = 16,599,798,564.64
  5. Step 5: Solve for x
    x = 16,599,798,564.64/146,020.37
  6. Step 6: Final answer
    x = 113,681.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.