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Finding the Fourth Proportional to 329,610, 494,121.78 and 119,201.16

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Solution

The fourth proportional to 329,610, 494,121.78 and 119,201.16 is: 178,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,610 : 494,121.78 = 119,201.16 : x
  2. Step 2: Convert to fraction form
    329,610/494,121.78 = 119,201.16/x
  3. Step 3: Cross multiply
    329,610x = 494,121.78 × 119,201.16
  4. Step 4: Simplify right side
    329,610x = 58,899,889,357.26
  5. Step 5: Solve for x
    x = 58,899,889,357.26/329,610
  6. Step 6: Final answer
    x = 178,695.70

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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.