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Finding the Fourth Proportional to 203,086.56, 280,283.76 and 127,624.80

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Solution

The fourth proportional to 203,086.56, 280,283.76 and 127,624.80 is: 176,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,086.56 : 280,283.76 = 127,624.80 : x
  2. Step 2: Convert to fraction form
    203,086.56/280,283.76 = 127,624.80/x
  3. Step 3: Cross multiply
    203,086.56x = 280,283.76 × 127,624.80
  4. Step 4: Simplify right side
    203,086.56x = 35,771,158,813.25
  5. Step 5: Solve for x
    x = 35,771,158,813.25/203,086.56
  6. Step 6: Final answer
    x = 176,137.50

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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.