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Finding the Fourth Proportional to 256,124.97, 384,206.01 and 98,353.43

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Solution

The fourth proportional to 256,124.97, 384,206.01 and 98,353.43 is: 147,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,124.97 : 384,206.01 = 98,353.43 : x
  2. Step 2: Convert to fraction form
    256,124.97/384,206.01 = 98,353.43/x
  3. Step 3: Cross multiply
    256,124.97x = 384,206.01 × 98,353.43
  4. Step 4: Simplify right side
    256,124.97x = 37,787,976,989.08
  5. Step 5: Solve for x
    x = 37,787,976,989.08/256,124.97
  6. Step 6: Final answer
    x = 147,537.26

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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.