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Finding the Fourth Proportional to 192,638.80, 265,725.31 and 127,228.02

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Solution

The fourth proportional to 192,638.80, 265,725.31 and 127,228.02 is: 175,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,638.80 : 265,725.31 = 127,228.02 : x
  2. Step 2: Convert to fraction form
    192,638.80/265,725.31 = 127,228.02/x
  3. Step 3: Cross multiply
    192,638.80x = 265,725.31 × 127,228.02
  4. Step 4: Simplify right side
    192,638.80x = 33,807,705,055.19
  5. Step 5: Solve for x
    x = 33,807,705,055.19/192,638.80
  6. Step 6: Final answer
    x = 175,497.90

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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.