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Finding the Fourth Proportional to 236,193.54, 354,359.57 and 76,266

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Solution

The fourth proportional to 236,193.54, 354,359.57 and 76,266 is: 114,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,193.54 : 354,359.57 = 76,266 : x
  2. Step 2: Convert to fraction form
    236,193.54/354,359.57 = 76,266/x
  3. Step 3: Cross multiply
    236,193.54x = 354,359.57 × 76,266
  4. Step 4: Simplify right side
    236,193.54x = 27,025,586,584.29
  5. Step 5: Solve for x
    x = 27,025,586,584.29/236,193.54
  6. Step 6: Final answer
    x = 114,421.36

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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.