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Finding the Fourth Proportional to 200,761.52, 277,052.28 and 111,343.28

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Solution

The fourth proportional to 200,761.52, 277,052.28 and 111,343.28 is: 153,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,761.52 : 277,052.28 = 111,343.28 : x
  2. Step 2: Convert to fraction form
    200,761.52/277,052.28 = 111,343.28/x
  3. Step 3: Cross multiply
    200,761.52x = 277,052.28 × 111,343.28
  4. Step 4: Simplify right side
    200,761.52x = 30,847,909,586.68
  5. Step 5: Solve for x
    x = 30,847,909,586.68/200,761.52
  6. Step 6: Final answer
    x = 153,654.49

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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.