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Finding the Fourth Proportional to 197,937, 297,064.80 and 112,600.26

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Solution

The fourth proportional to 197,937, 297,064.80 and 112,600.26 is: 168,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,937 : 297,064.80 = 112,600.26 : x
  2. Step 2: Convert to fraction form
    197,937/297,064.80 = 112,600.26/x
  3. Step 3: Cross multiply
    197,937x = 297,064.80 × 112,600.26
  4. Step 4: Simplify right side
    197,937x = 33,449,573,716.85
  5. Step 5: Solve for x
    x = 33,449,573,716.85/197,937
  6. Step 6: Final answer
    x = 168,991.01

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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.