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Finding the Fourth Proportional to 197,642.64, 272,744.64 and 106,996.44

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Solution

The fourth proportional to 197,642.64, 272,744.64 and 106,996.44 is: 147,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,642.64 : 272,744.64 = 106,996.44 : x
  2. Step 2: Convert to fraction form
    197,642.64/272,744.64 = 106,996.44/x
  3. Step 3: Cross multiply
    197,642.64x = 272,744.64 × 106,996.44
  4. Step 4: Simplify right side
    197,642.64x = 29,182,705,509.08
  5. Step 5: Solve for x
    x = 29,182,705,509.08/197,642.64
  6. Step 6: Final answer
    x = 147,653.89

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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.