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Finding the Fourth Proportional to 342,614.54, 513,956.03 and 117,945.25

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Solution

The fourth proportional to 342,614.54, 513,956.03 and 117,945.25 is: 176,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,614.54 : 513,956.03 = 117,945.25 : x
  2. Step 2: Convert to fraction form
    342,614.54/513,956.03 = 117,945.25/x
  3. Step 3: Cross multiply
    342,614.54x = 513,956.03 × 117,945.25
  4. Step 4: Simplify right side
    342,614.54x = 60,618,672,447.36
  5. Step 5: Solve for x
    x = 60,618,672,447.36/342,614.54
  6. Step 6: Final answer
    x = 176,929.66

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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.