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Finding the Fourth Proportional to 225,684.80, 311,303.40 and 145,216.88

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Solution

The fourth proportional to 225,684.80, 311,303.40 and 145,216.88 is: 200,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,684.80 : 311,303.40 = 145,216.88 : x
  2. Step 2: Convert to fraction form
    225,684.80/311,303.40 = 145,216.88/x
  3. Step 3: Cross multiply
    225,684.80x = 311,303.40 × 145,216.88
  4. Step 4: Simplify right side
    225,684.80x = 45,206,508,481.39
  5. Step 5: Solve for x
    x = 45,206,508,481.39/225,684.80
  6. Step 6: Final answer
    x = 200,308.17

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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.