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Finding the Fourth Proportional to 234,664.54, 323,745.47 and 153,088.70

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Solution

The fourth proportional to 234,664.54, 323,745.47 and 153,088.70 is: 211,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,664.54 : 323,745.47 = 153,088.70 : x
  2. Step 2: Convert to fraction form
    234,664.54/323,745.47 = 153,088.70/x
  3. Step 3: Cross multiply
    234,664.54x = 323,745.47 × 153,088.70
  4. Step 4: Simplify right side
    234,664.54x = 49,561,770,749.02
  5. Step 5: Solve for x
    x = 49,561,770,749.02/234,664.54
  6. Step 6: Final answer
    x = 211,202.64

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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.