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Finding the Fourth Proportional to 210,296.57, 290,313.32 and 129,768.44

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Solution

The fourth proportional to 210,296.57, 290,313.32 and 129,768.44 is: 179,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,296.57 : 290,313.32 = 129,768.44 : x
  2. Step 2: Convert to fraction form
    210,296.57/290,313.32 = 129,768.44/x
  3. Step 3: Cross multiply
    210,296.57x = 290,313.32 × 129,768.44
  4. Step 4: Simplify right side
    210,296.57x = 37,673,504,547.21
  5. Step 5: Solve for x
    x = 37,673,504,547.21/210,296.57
  6. Step 6: Final answer
    x = 179,144.65

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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.