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Finding the Fourth Proportional to 192,072.68, 265,053.35 and 106,029.82

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Solution

The fourth proportional to 192,072.68, 265,053.35 and 106,029.82 is: 146,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,072.68 : 265,053.35 = 106,029.82 : x
  2. Step 2: Convert to fraction form
    192,072.68/265,053.35 = 106,029.82/x
  3. Step 3: Cross multiply
    192,072.68x = 265,053.35 × 106,029.82
  4. Step 4: Simplify right side
    192,072.68x = 28,103,558,593.34
  5. Step 5: Solve for x
    x = 28,103,558,593.34/192,072.68
  6. Step 6: Final answer
    x = 146,317.31

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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.