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Finding the Fourth Proportional to 256,682.40, 354,203.73 and 149,244.81

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Solution

The fourth proportional to 256,682.40, 354,203.73 and 149,244.81 is: 205,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,682.40 : 354,203.73 = 149,244.81 : x
  2. Step 2: Convert to fraction form
    256,682.40/354,203.73 = 149,244.81/x
  3. Step 3: Cross multiply
    256,682.40x = 354,203.73 × 149,244.81
  4. Step 4: Simplify right side
    256,682.40x = 52,863,068,385.14
  5. Step 5: Solve for x
    x = 52,863,068,385.14/256,682.40
  6. Step 6: Final answer
    x = 205,947.38

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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.