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Finding the Fourth Proportional to 200,920.10, 277,273.13 and 110,284.54

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Solution

The fourth proportional to 200,920.10, 277,273.13 and 110,284.54 is: 152,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920.10 : 277,273.13 = 110,284.54 : x
  2. Step 2: Convert to fraction form
    200,920.10/277,273.13 = 110,284.54/x
  3. Step 3: Cross multiply
    200,920.10x = 277,273.13 × 110,284.54
  4. Step 4: Simplify right side
    200,920.10x = 30,578,938,351.80
  5. Step 5: Solve for x
    x = 30,578,938,351.80/200,920.10
  6. Step 6: Final answer
    x = 152,194.52

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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.