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Finding the Fourth Proportional to 210,735.76, 316,245.82 and 77,722.44

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Solution

The fourth proportional to 210,735.76, 316,245.82 and 77,722.44 is: 116,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,735.76 : 316,245.82 = 77,722.44 : x
  2. Step 2: Convert to fraction form
    210,735.76/316,245.82 = 77,722.44/x
  3. Step 3: Cross multiply
    210,735.76x = 316,245.82 × 77,722.44
  4. Step 4: Simplify right side
    210,735.76x = 24,579,396,770.20
  5. Step 5: Solve for x
    x = 24,579,396,770.20/210,735.76
  6. Step 6: Final answer
    x = 116,636.10

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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.