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Finding the Fourth Proportional to 256,427.80, 384,712.80 and 106,738.60

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Solution

The fourth proportional to 256,427.80, 384,712.80 and 106,738.60 is: 160,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,427.80 : 384,712.80 = 106,738.60 : x
  2. Step 2: Convert to fraction form
    256,427.80/384,712.80 = 106,738.60/x
  3. Step 3: Cross multiply
    256,427.80x = 384,712.80 × 106,738.60
  4. Step 4: Simplify right side
    256,427.80x = 41,063,705,674.08
  5. Step 5: Solve for x
    x = 41,063,705,674.08/256,427.80
  6. Step 6: Final answer
    x = 160,137.50

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1.5x scale

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.