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Finding the Fourth Proportional to 197,570.84, 296,387.02 and 64,420.20

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Solution

The fourth proportional to 197,570.84, 296,387.02 and 64,420.20 is: 96,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,570.84 : 296,387.02 = 64,420.20 : x
  2. Step 2: Convert to fraction form
    197,570.84/296,387.02 = 64,420.20/x
  3. Step 3: Cross multiply
    197,570.84x = 296,387.02 × 64,420.20
  4. Step 4: Simplify right side
    197,570.84x = 19,093,311,105.80
  5. Step 5: Solve for x
    x = 19,093,311,105.80/197,570.84
  6. Step 6: Final answer
    x = 96,640.33

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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.