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Finding the Fourth Proportional to 200,657.28, 276,910.16 and 110,021.52

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Solution

The fourth proportional to 200,657.28, 276,910.16 and 110,021.52 is: 151,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657.28 : 276,910.16 = 110,021.52 : x
  2. Step 2: Convert to fraction form
    200,657.28/276,910.16 = 110,021.52/x
  3. Step 3: Cross multiply
    200,657.28x = 276,910.16 × 110,021.52
  4. Step 4: Simplify right side
    200,657.28x = 30,466,076,706.64
  5. Step 5: Solve for x
    x = 30,466,076,706.64/200,657.28
  6. Step 6: Final answer
    x = 151,831.40

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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.