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Finding the Fourth Proportional to 197,425, 296,168.28 and 64,273.83

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Solution

The fourth proportional to 197,425, 296,168.28 and 64,273.83 is: 96,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,425 : 296,168.28 = 64,273.83 : x
  2. Step 2: Convert to fraction form
    197,425/296,168.28 = 64,273.83/x
  3. Step 3: Cross multiply
    197,425x = 296,168.28 × 64,273.83
  4. Step 4: Simplify right side
    197,425x = 19,035,869,680.11
  5. Step 5: Solve for x
    x = 19,035,869,680.11/197,425
  6. Step 6: Final answer
    x = 96,420.77

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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.