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Finding the Fourth Proportional to 197,270, 272,233.56 and 107,846

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Solution

The fourth proportional to 197,270, 272,233.56 and 107,846 is: 148,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,270 : 272,233.56 = 107,846 : x
  2. Step 2: Convert to fraction form
    197,270/272,233.56 = 107,846/x
  3. Step 3: Cross multiply
    197,270x = 272,233.56 × 107,846
  4. Step 4: Simplify right side
    197,270x = 29,359,300,511.76
  5. Step 5: Solve for x
    x = 29,359,300,511.76/197,270
  6. Step 6: Final answer
    x = 148,828.00

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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.