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Finding the Fourth Proportional to 235,714, 353,581.98 and 67,245.88

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Solution

The fourth proportional to 235,714, 353,581.98 and 67,245.88 is: 100,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,714 : 353,581.98 = 67,245.88 : x
  2. Step 2: Convert to fraction form
    235,714/353,581.98 = 67,245.88/x
  3. Step 3: Cross multiply
    235,714x = 353,581.98 × 67,245.88
  4. Step 4: Simplify right side
    235,714x = 23,776,931,397.24
  5. Step 5: Solve for x
    x = 23,776,931,397.24/235,714
  6. Step 6: Final answer
    x = 100,871.95

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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.