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Finding the Fourth Proportional to 322,081.92, 483,060.54 and 97,389.68

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Solution

The fourth proportional to 322,081.92, 483,060.54 and 97,389.68 is: 146,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,081.92 : 483,060.54 = 97,389.68 : x
  2. Step 2: Convert to fraction form
    322,081.92/483,060.54 = 97,389.68/x
  3. Step 3: Cross multiply
    322,081.92x = 483,060.54 × 97,389.68
  4. Step 4: Simplify right side
    322,081.92x = 47,045,109,361.14
  5. Step 5: Solve for x
    x = 47,045,109,361.14/322,081.92
  6. Step 6: Final answer
    x = 146,065.66

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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.