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Finding the Fourth Proportional to 256,286.45, 353,678.70 and 141,564.80

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Solution

The fourth proportional to 256,286.45, 353,678.70 and 141,564.80 is: 195,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,286.45 : 353,678.70 = 141,564.80 : x
  2. Step 2: Convert to fraction form
    256,286.45/353,678.70 = 141,564.80/x
  3. Step 3: Cross multiply
    256,286.45x = 353,678.70 × 141,564.80
  4. Step 4: Simplify right side
    256,286.45x = 50,068,454,429.76
  5. Step 5: Solve for x
    x = 50,068,454,429.76/256,286.45
  6. Step 6: Final answer
    x = 195,361.30

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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.