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Finding the Fourth Proportional to 197,902.50, 296,825.04 and 64,788.03

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Solution

The fourth proportional to 197,902.50, 296,825.04 and 64,788.03 is: 97,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,902.50 : 296,825.04 = 64,788.03 : x
  2. Step 2: Convert to fraction form
    197,902.50/296,825.04 = 64,788.03/x
  3. Step 3: Cross multiply
    197,902.50x = 296,825.04 × 64,788.03
  4. Step 4: Simplify right side
    197,902.50x = 19,230,709,596.27
  5. Step 5: Solve for x
    x = 19,230,709,596.27/197,902.50
  6. Step 6: Final answer
    x = 97,172.65

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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.