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Finding the Fourth Proportional to 219,713.37, 302,986.11 and 165,395.58

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Solution

The fourth proportional to 219,713.37, 302,986.11 and 165,395.58 is: 228,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,713.37 : 302,986.11 = 165,395.58 : x
  2. Step 2: Convert to fraction form
    219,713.37/302,986.11 = 165,395.58/x
  3. Step 3: Cross multiply
    219,713.37x = 302,986.11 × 165,395.58
  4. Step 4: Simplify right side
    219,713.37x = 50,112,563,395.39
  5. Step 5: Solve for x
    x = 50,112,563,395.39/219,713.37
  6. Step 6: Final answer
    x = 228,081.54

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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.