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Finding the Fourth Proportional to 201,269.42, 277,758.16 and 110,632.40

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Solution

The fourth proportional to 201,269.42, 277,758.16 and 110,632.40 is: 152,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,269.42 : 277,758.16 = 110,632.40 : x
  2. Step 2: Convert to fraction form
    201,269.42/277,758.16 = 110,632.40/x
  3. Step 3: Cross multiply
    201,269.42x = 277,758.16 × 110,632.40
  4. Step 4: Simplify right side
    201,269.42x = 30,729,051,860.38
  5. Step 5: Solve for x
    x = 30,729,051,860.38/201,269.42
  6. Step 6: Final answer
    x = 152,676.21

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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.