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Finding the Fourth Proportional to 329,141.16, 454,212.16 and 178,238.16

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Solution

The fourth proportional to 329,141.16, 454,212.16 and 178,238.16 is: 245,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,141.16 : 454,212.16 = 178,238.16 : x
  2. Step 2: Convert to fraction form
    329,141.16/454,212.16 = 178,238.16/x
  3. Step 3: Cross multiply
    329,141.16x = 454,212.16 × 178,238.16
  4. Step 4: Simplify right side
    329,141.16x = 80,957,939,648.03
  5. Step 5: Solve for x
    x = 80,957,939,648.03/329,141.16
  6. Step 6: Final answer
    x = 245,967.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.