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Finding the Fourth Proportional to 203,470.70, 305,206.05 and 170,228.30

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Solution

The fourth proportional to 203,470.70, 305,206.05 and 170,228.30 is: 255,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,470.70 : 305,206.05 = 170,228.30 : x
  2. Step 2: Convert to fraction form
    203,470.70/305,206.05 = 170,228.30/x
  3. Step 3: Cross multiply
    203,470.70x = 305,206.05 × 170,228.30
  4. Step 4: Simplify right side
    203,470.70x = 51,954,707,041.22
  5. Step 5: Solve for x
    x = 51,954,707,041.22/203,470.70
  6. Step 6: Final answer
    x = 255,342.45

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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.