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Finding the Fourth Proportional to 212,338.50, 293,023.42 and 115,539.09

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Solution

The fourth proportional to 212,338.50, 293,023.42 and 115,539.09 is: 159,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,338.50 : 293,023.42 = 115,539.09 : x
  2. Step 2: Convert to fraction form
    212,338.50/293,023.42 = 115,539.09/x
  3. Step 3: Cross multiply
    212,338.50x = 293,023.42 × 115,539.09
  4. Step 4: Simplify right side
    212,338.50x = 33,855,657,252.68
  5. Step 5: Solve for x
    x = 33,855,657,252.68/212,338.50
  6. Step 6: Final answer
    x = 159,441.92

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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.