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Finding the Fourth Proportional to 200,874.34, 277,197.20 and 110,228.02

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Solution

The fourth proportional to 200,874.34, 277,197.20 and 110,228.02 is: 152,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,874.34 : 277,197.20 = 110,228.02 : x
  2. Step 2: Convert to fraction form
    200,874.34/277,197.20 = 110,228.02/x
  3. Step 3: Cross multiply
    200,874.34x = 277,197.20 × 110,228.02
  4. Step 4: Simplify right side
    200,874.34x = 30,554,898,505.54
  5. Step 5: Solve for x
    x = 30,554,898,505.54/200,874.34
  6. Step 6: Final answer
    x = 152,109.52

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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.