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Finding the Fourth Proportional to 197,266, 272,228.04 and 107,842

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Solution

The fourth proportional to 197,266, 272,228.04 and 107,842 is: 148,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,266 : 272,228.04 = 107,842 : x
  2. Step 2: Convert to fraction form
    197,266/272,228.04 = 107,842/x
  3. Step 3: Cross multiply
    197,266x = 272,228.04 × 107,842
  4. Step 4: Simplify right side
    197,266x = 29,357,616,289.68
  5. Step 5: Solve for x
    x = 29,357,616,289.68/197,266
  6. Step 6: Final answer
    x = 148,822.48

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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.