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Finding the Fourth Proportional to 211,615.26, 317,446.98 and 76,742.88

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Solution

The fourth proportional to 211,615.26, 317,446.98 and 76,742.88 is: 115,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,615.26 : 317,446.98 = 76,742.88 : x
  2. Step 2: Convert to fraction form
    211,615.26/317,446.98 = 76,742.88/x
  3. Step 3: Cross multiply
    211,615.26x = 317,446.98 × 76,742.88
  4. Step 4: Simplify right side
    211,615.26x = 24,361,795,492.50
  5. Step 5: Solve for x
    x = 24,361,795,492.50/211,615.26
  6. Step 6: Final answer
    x = 115,123.06

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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.