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Finding the Fourth Proportional to 192,147.46, 288,396.96 and 97,443.01

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Solution

The fourth proportional to 192,147.46, 288,396.96 and 97,443.01 is: 146,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,147.46 : 288,396.96 = 97,443.01 : x
  2. Step 2: Convert to fraction form
    192,147.46/288,396.96 = 97,443.01/x
  3. Step 3: Cross multiply
    192,147.46x = 288,396.96 × 97,443.01
  4. Step 4: Simplify right side
    192,147.46x = 28,102,267,852.33
  5. Step 5: Solve for x
    x = 28,102,267,852.33/192,147.46
  6. Step 6: Final answer
    x = 146,253.65

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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.