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Finding the Fourth Proportional to 201,409.42, 277,939.45 and 110,765.39

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Solution

The fourth proportional to 201,409.42, 277,939.45 and 110,765.39 is: 152,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,409.42 : 277,939.45 = 110,765.39 : x
  2. Step 2: Convert to fraction form
    201,409.42/277,939.45 = 110,765.39/x
  3. Step 3: Cross multiply
    201,409.42x = 277,939.45 × 110,765.39
  4. Step 4: Simplify right side
    201,409.42x = 30,786,070,185.94
  5. Step 5: Solve for x
    x = 30,786,070,185.94/201,409.42
  6. Step 6: Final answer
    x = 152,853.18

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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.