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Finding the Fourth Proportional to 210,191.06, 290,063.68 and 149,866.80

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Solution

The fourth proportional to 210,191.06, 290,063.68 and 149,866.80 is: 206,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,191.06 : 290,063.68 = 149,866.80 : x
  2. Step 2: Convert to fraction form
    210,191.06/290,063.68 = 149,866.80/x
  3. Step 3: Cross multiply
    210,191.06x = 290,063.68 × 149,866.80
  4. Step 4: Simplify right side
    210,191.06x = 43,470,915,517.82
  5. Step 5: Solve for x
    x = 43,470,915,517.82/210,191.06
  6. Step 6: Final answer
    x = 206,816.20

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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.