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Finding the Fourth Proportional to 256,636.60, 354,160.79 and 141,923

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Solution

The fourth proportional to 256,636.60, 354,160.79 and 141,923 is: 195,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,636.60 : 354,160.79 = 141,923 : x
  2. Step 2: Convert to fraction form
    256,636.60/354,160.79 = 141,923/x
  3. Step 3: Cross multiply
    256,636.60x = 354,160.79 × 141,923
  4. Step 4: Simplify right side
    256,636.60x = 50,263,561,799.17
  5. Step 5: Solve for x
    x = 50,263,561,799.17/256,636.60
  6. Step 6: Final answer
    x = 195,855.00

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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.