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Finding the Fourth Proportional to 199,031.92, 274,373.88 and 151,202.24

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Solution

The fourth proportional to 199,031.92, 274,373.88 and 151,202.24 is: 208,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,031.92 : 274,373.88 = 151,202.24 : x
  2. Step 2: Convert to fraction form
    199,031.92/274,373.88 = 151,202.24/x
  3. Step 3: Cross multiply
    199,031.92x = 274,373.88 × 151,202.24
  4. Step 4: Simplify right side
    199,031.92x = 41,485,945,253.49
  5. Step 5: Solve for x
    x = 41,485,945,253.49/199,031.92
  6. Step 6: Final answer
    x = 208,438.65

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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.