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Finding the Fourth Proportional to 237,564, 327,843.60 and 135,587.42

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Solution

The fourth proportional to 237,564, 327,843.60 and 135,587.42 is: 187,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,564 : 327,843.60 = 135,587.42 : x
  2. Step 2: Convert to fraction form
    237,564/327,843.60 = 135,587.42/x
  3. Step 3: Cross multiply
    237,564x = 327,843.60 × 135,587.42
  4. Step 4: Simplify right side
    237,564x = 44,451,467,887.51
  5. Step 5: Solve for x
    x = 44,451,467,887.51/237,564
  6. Step 6: Final answer
    x = 187,113.65

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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.