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Finding the Fourth Proportional to 197,956.14, 296,989.49 and 64,929.97

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Solution

The fourth proportional to 197,956.14, 296,989.49 and 64,929.97 is: 97,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,956.14 : 296,989.49 = 64,929.97 : x
  2. Step 2: Convert to fraction form
    197,956.14/296,989.49 = 64,929.97/x
  3. Step 3: Cross multiply
    197,956.14x = 296,989.49 × 64,929.97
  4. Step 4: Simplify right side
    197,956.14x = 19,283,518,676.02
  5. Step 5: Solve for x
    x = 19,283,518,676.02/197,956.14
  6. Step 6: Final answer
    x = 97,413.09

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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.