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Finding the Fourth Proportional to 237,586.35, 327,869.13 and 142,093.05

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Solution

The fourth proportional to 237,586.35, 327,869.13 and 142,093.05 is: 196,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,586.35 : 327,869.13 = 142,093.05 : x
  2. Step 2: Convert to fraction form
    237,586.35/327,869.13 = 142,093.05/x
  3. Step 3: Cross multiply
    237,586.35x = 327,869.13 × 142,093.05
  4. Step 4: Simplify right side
    237,586.35x = 46,587,924,682.55
  5. Step 5: Solve for x
    x = 46,587,924,682.55/237,586.35
  6. Step 6: Final answer
    x = 196,088.39

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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.