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Finding the Fourth Proportional to 256,715.30, 354,265.52 and 141,991.89

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Solution

The fourth proportional to 256,715.30, 354,265.52 and 141,991.89 is: 195,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,715.30 : 354,265.52 = 141,991.89 : x
  2. Step 2: Convert to fraction form
    256,715.30/354,265.52 = 141,991.89/x
  3. Step 3: Cross multiply
    256,715.30x = 354,265.52 × 141,991.89
  4. Step 4: Simplify right side
    256,715.30x = 50,302,829,906.23
  5. Step 5: Solve for x
    x = 50,302,829,906.23/256,715.30
  6. Step 6: Final answer
    x = 195,947.92

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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.