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Finding the Fourth Proportional to 256,604.52, 384,922.53 and 98,833.44

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Solution

The fourth proportional to 256,604.52, 384,922.53 and 98,833.44 is: 148,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,604.52 : 384,922.53 = 98,833.44 : x
  2. Step 2: Convert to fraction form
    256,604.52/384,922.53 = 98,833.44/x
  3. Step 3: Cross multiply
    256,604.52x = 384,922.53 × 98,833.44
  4. Step 4: Simplify right side
    256,604.52x = 38,043,217,773.40
  5. Step 5: Solve for x
    x = 38,043,217,773.40/256,604.52
  6. Step 6: Final answer
    x = 148,256.23

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Why These Related Problems?

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