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Finding the Fourth Proportional to 200,702, 301,073.18 and 52,958

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Solution

The fourth proportional to 200,702, 301,073.18 and 52,958 is: 79,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,702 : 301,073.18 = 52,958 : x
  2. Step 2: Convert to fraction form
    200,702/301,073.18 = 52,958/x
  3. Step 3: Cross multiply
    200,702x = 301,073.18 × 52,958
  4. Step 4: Simplify right side
    200,702x = 15,944,233,466.44
  5. Step 5: Solve for x
    x = 15,944,233,466.44/200,702
  6. Step 6: Final answer
    x = 79,442.32

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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.