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Finding the Fourth Proportional to 146,357.26, 201,977.01 and 82,693.78

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Solution

The fourth proportional to 146,357.26, 201,977.01 and 82,693.78 is: 114,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,357.26 : 201,977.01 = 82,693.78 : x
  2. Step 2: Convert to fraction form
    146,357.26/201,977.01 = 82,693.78/x
  3. Step 3: Cross multiply
    146,357.26x = 201,977.01 × 82,693.78
  4. Step 4: Simplify right side
    146,357.26x = 16,702,242,430.00
  5. Step 5: Solve for x
    x = 16,702,242,430.00/146,357.26
  6. Step 6: Final answer
    x = 114,119.67

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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.