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Finding the Fourth Proportional to 210,721.50, 290,795.94 and 115,227.90

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Solution

The fourth proportional to 210,721.50, 290,795.94 and 115,227.90 is: 159,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,721.50 : 290,795.94 = 115,227.90 : x
  2. Step 2: Convert to fraction form
    210,721.50/290,795.94 = 115,227.90/x
  3. Step 3: Cross multiply
    210,721.50x = 290,795.94 × 115,227.90
  4. Step 4: Simplify right side
    210,721.50x = 33,507,805,494.73
  5. Step 5: Solve for x
    x = 33,507,805,494.73/210,721.50
  6. Step 6: Final answer
    x = 159,014.65

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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.