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Finding the Fourth Proportional to 200,428.89, 276,595.84 and 109,784.85

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Solution

The fourth proportional to 200,428.89, 276,595.84 and 109,784.85 is: 151,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,428.89 : 276,595.84 = 109,784.85 : x
  2. Step 2: Convert to fraction form
    200,428.89/276,595.84 = 109,784.85/x
  3. Step 3: Cross multiply
    200,428.89x = 276,595.84 × 109,784.85
  4. Step 4: Simplify right side
    200,428.89x = 30,366,032,805.02
  5. Step 5: Solve for x
    x = 30,366,032,805.02/200,428.89
  6. Step 6: Final answer
    x = 151,505.27

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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.