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Finding the Fourth Proportional to 235,951.56, 325,613.82 and 140,457.42

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Solution

The fourth proportional to 235,951.56, 325,613.82 and 140,457.42 is: 193,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,951.56 : 325,613.82 = 140,457.42 : x
  2. Step 2: Convert to fraction form
    235,951.56/325,613.82 = 140,457.42/x
  3. Step 3: Cross multiply
    235,951.56x = 325,613.82 × 140,457.42
  4. Step 4: Simplify right side
    235,951.56x = 45,734,877,073.54
  5. Step 5: Solve for x
    x = 45,734,877,073.54/235,951.56
  6. Step 6: Final answer
    x = 193,831.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.