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Finding the Fourth Proportional to 192,176.88, 265,206.06 and 106,138

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Solution

The fourth proportional to 192,176.88, 265,206.06 and 106,138 is: 146,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,176.88 : 265,206.06 = 106,138 : x
  2. Step 2: Convert to fraction form
    192,176.88/265,206.06 = 106,138/x
  3. Step 3: Cross multiply
    192,176.88x = 265,206.06 × 106,138
  4. Step 4: Simplify right side
    192,176.88x = 28,148,440,796.28
  5. Step 5: Solve for x
    x = 28,148,440,796.28/192,176.88
  6. Step 6: Final answer
    x = 146,471.53

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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.