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Finding the Fourth Proportional to 200,676.16, 301,013.62 and 50,916.16

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Solution

The fourth proportional to 200,676.16, 301,013.62 and 50,916.16 is: 76,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,676.16 : 301,013.62 = 50,916.16 : x
  2. Step 2: Convert to fraction form
    200,676.16/301,013.62 = 50,916.16/x
  3. Step 3: Cross multiply
    200,676.16x = 301,013.62 × 50,916.16
  4. Step 4: Simplify right side
    200,676.16x = 15,326,456,758.27
  5. Step 5: Solve for x
    x = 15,326,456,758.27/200,676.16
  6. Step 6: Final answer
    x = 76,374.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.