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Finding the Fourth Proportional to 207,233.70, 310,668.30 and 140,457.30

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Solution

The fourth proportional to 207,233.70, 310,668.30 and 140,457.30 is: 210,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,233.70 : 310,668.30 = 140,457.30 : x
  2. Step 2: Convert to fraction form
    207,233.70/310,668.30 = 140,457.30/x
  3. Step 3: Cross multiply
    207,233.70x = 310,668.30 × 140,457.30
  4. Step 4: Simplify right side
    207,233.70x = 43,635,630,613.59
  5. Step 5: Solve for x
    x = 43,635,630,613.59/207,233.70
  6. Step 6: Final answer
    x = 210,562.43

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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.