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Finding the Fourth Proportional to 219,146.88, 302,414.76 and 137,519.16

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Solution

The fourth proportional to 219,146.88, 302,414.76 and 137,519.16 is: 189,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,146.88 : 302,414.76 = 137,519.16 : x
  2. Step 2: Convert to fraction form
    219,146.88/302,414.76 = 137,519.16/x
  3. Step 3: Cross multiply
    219,146.88x = 302,414.76 × 137,519.16
  4. Step 4: Simplify right side
    219,146.88x = 41,587,823,766.80
  5. Step 5: Solve for x
    x = 41,587,823,766.80/219,146.88
  6. Step 6: Final answer
    x = 189,771.46

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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.