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Finding the Fourth Proportional to 256,684.30, 354,212.67 and 141,964

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Solution

The fourth proportional to 256,684.30, 354,212.67 and 141,964 is: 195,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,684.30 : 354,212.67 = 141,964 : x
  2. Step 2: Convert to fraction form
    256,684.30/354,212.67 = 141,964/x
  3. Step 3: Cross multiply
    256,684.30x = 354,212.67 × 141,964
  4. Step 4: Simplify right side
    256,684.30x = 50,285,447,483.88
  5. Step 5: Solve for x
    x = 50,285,447,483.88/256,684.30
  6. Step 6: Final answer
    x = 195,903.87

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