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Finding the Fourth Proportional to 256,150.53, 384,244.25 and 98,378.99

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Solution

The fourth proportional to 256,150.53, 384,244.25 and 98,378.99 is: 147,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,150.53 : 384,244.25 = 98,378.99 : x
  2. Step 2: Convert to fraction form
    256,150.53/384,244.25 = 98,378.99/x
  3. Step 3: Cross multiply
    256,150.53x = 384,244.25 × 98,378.99
  4. Step 4: Simplify right side
    256,150.53x = 37,801,561,228.31
  5. Step 5: Solve for x
    x = 37,801,561,228.31/256,150.53
  6. Step 6: Final answer
    x = 147,575.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.