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Finding the Fourth Proportional to 329,749.52, 494,660.12 and 105,057.14

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Solution

The fourth proportional to 329,749.52, 494,660.12 and 105,057.14 is: 157,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,749.52 : 494,660.12 = 105,057.14 : x
  2. Step 2: Convert to fraction form
    329,749.52/494,660.12 = 105,057.14/x
  3. Step 3: Cross multiply
    329,749.52x = 494,660.12 × 105,057.14
  4. Step 4: Simplify right side
    329,749.52x = 51,967,574,480.67
  5. Step 5: Solve for x
    x = 51,967,574,480.67/329,749.52
  6. Step 6: Final answer
    x = 157,597.12

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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.