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Finding the Fourth Proportional to 256,706.75, 354,224.52 and 141,969.83

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Solution

The fourth proportional to 256,706.75, 354,224.52 and 141,969.83 is: 195,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,706.75 : 354,224.52 = 141,969.83 : x
  2. Step 2: Convert to fraction form
    256,706.75/354,224.52 = 141,969.83/x
  3. Step 3: Cross multiply
    256,706.75x = 354,224.52 × 141,969.83
  4. Step 4: Simplify right side
    256,706.75x = 50,289,193,115.11
  5. Step 5: Solve for x
    x = 50,289,193,115.11/256,706.75
  6. Step 6: Final answer
    x = 195,901.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.