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Finding the Fourth Proportional to 239,489.46, 359,234.22 and 97,412.04

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Solution

The fourth proportional to 239,489.46, 359,234.22 and 97,412.04 is: 146,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,489.46 : 359,234.22 = 97,412.04 : x
  2. Step 2: Convert to fraction form
    239,489.46/359,234.22 = 97,412.04/x
  3. Step 3: Cross multiply
    239,489.46x = 359,234.22 × 97,412.04
  4. Step 4: Simplify right side
    239,489.46x = 34,993,738,208.01
  5. Step 5: Solve for x
    x = 34,993,738,208.01/239,489.46
  6. Step 6: Final answer
    x = 146,118.07

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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.