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Finding the Fourth Proportional to 293,036, 404,389.68 and 158,900

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Solution

The fourth proportional to 293,036, 404,389.68 and 158,900 is: 219,282

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,036 : 404,389.68 = 158,900 : x
  2. Step 2: Convert to fraction form
    293,036/404,389.68 = 158,900/x
  3. Step 3: Cross multiply
    293,036x = 404,389.68 × 158,900
  4. Step 4: Simplify right side
    293,036x = 64,257,520,152
  5. Step 5: Solve for x
    x = 64,257,520,152/293,036
  6. Step 6: Final answer
    x = 219,282

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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.