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Finding the Fourth Proportional to 217,886.80, 326,946.30 and 84,771.40

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Solution

The fourth proportional to 217,886.80, 326,946.30 and 84,771.40 is: 127,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,886.80 : 326,946.30 = 84,771.40 : x
  2. Step 2: Convert to fraction form
    217,886.80/326,946.30 = 84,771.40/x
  3. Step 3: Cross multiply
    217,886.80x = 326,946.30 × 84,771.40
  4. Step 4: Simplify right side
    217,886.80x = 27,715,695,575.82
  5. Step 5: Solve for x
    x = 27,715,695,575.82/217,886.80
  6. Step 6: Final answer
    x = 127,202.27

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Why These Related Problems?

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