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Finding the Fourth Proportional to 201,082.53, 277,378.08 and 120,463.37

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Solution

The fourth proportional to 201,082.53, 277,378.08 and 120,463.37 is: 166,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,082.53 : 277,378.08 = 120,463.37 : x
  2. Step 2: Convert to fraction form
    201,082.53/277,378.08 = 120,463.37/x
  3. Step 3: Cross multiply
    201,082.53x = 277,378.08 × 120,463.37
  4. Step 4: Simplify right side
    201,082.53x = 33,413,897,482.47
  5. Step 5: Solve for x
    x = 33,413,897,482.47/201,082.53
  6. Step 6: Final answer
    x = 166,170.06

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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.