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Finding the Fourth Proportional to 210,858.29, 290,984.10 and 115,365.37

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Solution

The fourth proportional to 210,858.29, 290,984.10 and 115,365.37 is: 159,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,858.29 : 290,984.10 = 115,365.37 : x
  2. Step 2: Convert to fraction form
    210,858.29/290,984.10 = 115,365.37/x
  3. Step 3: Cross multiply
    210,858.29x = 290,984.10 × 115,365.37
  4. Step 4: Simplify right side
    210,858.29x = 33,569,486,905.70
  5. Step 5: Solve for x
    x = 33,569,486,905.70/210,858.29
  6. Step 6: Final answer
    x = 159,204.02

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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.