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Finding the Fourth Proportional to 197,973.43, 273,199.98 and 111,931

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Solution

The fourth proportional to 197,973.43, 273,199.98 and 111,931 is: 154,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,973.43 : 273,199.98 = 111,931 : x
  2. Step 2: Convert to fraction form
    197,973.43/273,199.98 = 111,931/x
  3. Step 3: Cross multiply
    197,973.43x = 273,199.98 × 111,931
  4. Step 4: Simplify right side
    197,973.43x = 30,579,546,961.38
  5. Step 5: Solve for x
    x = 30,579,546,961.38/197,973.43
  6. Step 6: Final answer
    x = 154,462.88

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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.