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Finding the Fourth Proportional to 210,586.09, 290,608.11 and 115,092.76

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Solution

The fourth proportional to 210,586.09, 290,608.11 and 115,092.76 is: 158,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,586.09 : 290,608.11 = 115,092.76 : x
  2. Step 2: Convert to fraction form
    210,586.09/290,608.11 = 115,092.76/x
  3. Step 3: Cross multiply
    210,586.09x = 290,608.11 × 115,092.76
  4. Step 4: Simplify right side
    210,586.09x = 33,446,889,458.28
  5. Step 5: Solve for x
    x = 33,446,889,458.28/210,586.09
  6. Step 6: Final answer
    x = 158,827.63

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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.