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Finding the Fourth Proportional to 198,148.78, 273,445.32 and 113,267.67

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Solution

The fourth proportional to 198,148.78, 273,445.32 and 113,267.67 is: 156,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,148.78 : 273,445.32 = 113,267.67 : x
  2. Step 2: Convert to fraction form
    198,148.78/273,445.32 = 113,267.67/x
  3. Step 3: Cross multiply
    198,148.78x = 273,445.32 × 113,267.67
  4. Step 4: Simplify right side
    198,148.78x = 30,972,513,031.01
  5. Step 5: Solve for x
    x = 30,972,513,031.01/198,148.78
  6. Step 6: Final answer
    x = 156,309.38

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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.