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Finding the Fourth Proportional to 201,048.13, 277,427.33 and 120,460.69

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Solution

The fourth proportional to 201,048.13, 277,427.33 and 120,460.69 is: 166,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,048.13 : 277,427.33 = 120,460.69 : x
  2. Step 2: Convert to fraction form
    201,048.13/277,427.33 = 120,460.69/x
  3. Step 3: Cross multiply
    201,048.13x = 277,427.33 × 120,460.69
  4. Step 4: Simplify right side
    201,048.13x = 33,419,086,994.35
  5. Step 5: Solve for x
    x = 33,419,086,994.35/201,048.13
  6. Step 6: Final answer
    x = 166,224.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.