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Finding the Fourth Proportional to 200,884.63, 277,228.76 and 110,243.85

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Solution

The fourth proportional to 200,884.63, 277,228.76 and 110,243.85 is: 152,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,884.63 : 277,228.76 = 110,243.85 : x
  2. Step 2: Convert to fraction form
    200,884.63/277,228.76 = 110,243.85/x
  3. Step 3: Cross multiply
    200,884.63x = 277,228.76 × 110,243.85
  4. Step 4: Simplify right side
    200,884.63x = 30,562,765,177.04
  5. Step 5: Solve for x
    x = 30,562,765,177.04/200,884.63
  6. Step 6: Final answer
    x = 152,140.88

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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.