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Finding the Fourth Proportional to 200,395.78, 276,733.50 and 128,899.92

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Solution

The fourth proportional to 200,395.78, 276,733.50 and 128,899.92 is: 178,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,395.78 : 276,733.50 = 128,899.92 : x
  2. Step 2: Convert to fraction form
    200,395.78/276,733.50 = 128,899.92/x
  3. Step 3: Cross multiply
    200,395.78x = 276,733.50 × 128,899.92
  4. Step 4: Simplify right side
    200,395.78x = 35,670,926,011.32
  5. Step 5: Solve for x
    x = 35,670,926,011.32/200,395.78
  6. Step 6: Final answer
    x = 178,002.38

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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.