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Finding the Fourth Proportional to 200,411.51, 276,434.82 and 128,882.03

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Solution

The fourth proportional to 200,411.51, 276,434.82 and 128,882.03 is: 177,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,411.51 : 276,434.82 = 128,882.03 : x
  2. Step 2: Convert to fraction form
    200,411.51/276,434.82 = 128,882.03/x
  3. Step 3: Cross multiply
    200,411.51x = 276,434.82 × 128,882.03
  4. Step 4: Simplify right side
    200,411.51x = 35,627,479,382.11
  5. Step 5: Solve for x
    x = 35,627,479,382.11/200,411.51
  6. Step 6: Final answer
    x = 177,771.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.