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Finding the Fourth Proportional to 200,921.38, 277,271.85 and 110,277.94

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Solution

The fourth proportional to 200,921.38, 277,271.85 and 110,277.94 is: 152,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,921.38 : 277,271.85 = 110,277.94 : x
  2. Step 2: Convert to fraction form
    200,921.38/277,271.85 = 110,277.94/x
  3. Step 3: Cross multiply
    200,921.38x = 277,271.85 × 110,277.94
  4. Step 4: Simplify right side
    200,921.38x = 30,576,968,437.99
  5. Step 5: Solve for x
    x = 30,576,968,437.99/200,921.38
  6. Step 6: Final answer
    x = 152,183.75

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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.