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Finding the Fourth Proportional to 204,709.31, 307,236.50 and 86,465.51

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Solution

The fourth proportional to 204,709.31, 307,236.50 and 86,465.51 is: 129,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,709.31 : 307,236.50 = 86,465.51 : x
  2. Step 2: Convert to fraction form
    204,709.31/307,236.50 = 86,465.51/x
  3. Step 3: Cross multiply
    204,709.31x = 307,236.50 × 86,465.51
  4. Step 4: Simplify right side
    204,709.31x = 26,565,360,663.12
  5. Step 5: Solve for x
    x = 26,565,360,663.12/204,709.31
  6. Step 6: Final answer
    x = 129,771.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.