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Finding the Fourth Proportional to 256,732.87, 354,264.09 and 141,993.28

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Solution

The fourth proportional to 256,732.87, 354,264.09 and 141,993.28 is: 195,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,732.87 : 354,264.09 = 141,993.28 : x
  2. Step 2: Convert to fraction form
    256,732.87/354,264.09 = 141,993.28/x
  3. Step 3: Cross multiply
    256,732.87x = 354,264.09 × 141,993.28
  4. Step 4: Simplify right side
    256,732.87x = 50,303,117,821.52
  5. Step 5: Solve for x
    x = 50,303,117,821.52/256,732.87
  6. Step 6: Final answer
    x = 195,935.64

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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.