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Finding the Fourth Proportional to 219,286.77, 302,532.37 and 137,580.40

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Solution

The fourth proportional to 219,286.77, 302,532.37 and 137,580.40 is: 189,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,286.77 : 302,532.37 = 137,580.40 : x
  2. Step 2: Convert to fraction form
    219,286.77/302,532.37 = 137,580.40/x
  3. Step 3: Cross multiply
    219,286.77x = 302,532.37 × 137,580.40
  4. Step 4: Simplify right side
    219,286.77x = 41,622,524,477.55
  5. Step 5: Solve for x
    x = 41,622,524,477.55/219,286.77
  6. Step 6: Final answer
    x = 189,808.64

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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.