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Finding the Fourth Proportional to 200,920.38, 277,270.47 and 110,276.94

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Solution

The fourth proportional to 200,920.38, 277,270.47 and 110,276.94 is: 152,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920.38 : 277,270.47 = 110,276.94 : x
  2. Step 2: Convert to fraction form
    200,920.38/277,270.47 = 110,276.94/x
  3. Step 3: Cross multiply
    200,920.38x = 277,270.47 × 110,276.94
  4. Step 4: Simplify right side
    200,920.38x = 30,576,538,983.96
  5. Step 5: Solve for x
    x = 30,576,538,983.96/200,920.38
  6. Step 6: Final answer
    x = 152,182.37

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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.