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Finding the Fourth Proportional to 192,062.76, 265,048.62 and 107,178

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Solution

The fourth proportional to 192,062.76, 265,048.62 and 107,178 is: 147,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,062.76 : 265,048.62 = 107,178 : x
  2. Step 2: Convert to fraction form
    192,062.76/265,048.62 = 107,178/x
  3. Step 3: Cross multiply
    192,062.76x = 265,048.62 × 107,178
  4. Step 4: Simplify right side
    192,062.76x = 28,407,380,994.36
  5. Step 5: Solve for x
    x = 28,407,380,994.36/192,062.76
  6. Step 6: Final answer
    x = 147,906.76

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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.