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Finding the Fourth Proportional to 225,359.23, 311,206.44 and 144,926.41

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Solution

The fourth proportional to 225,359.23, 311,206.44 and 144,926.41 is: 200,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,359.23 : 311,206.44 = 144,926.41 : x
  2. Step 2: Convert to fraction form
    225,359.23/311,206.44 = 144,926.41/x
  3. Step 3: Cross multiply
    225,359.23x = 311,206.44 × 144,926.41
  4. Step 4: Simplify right side
    225,359.23x = 45,102,032,118.08
  5. Step 5: Solve for x
    x = 45,102,032,118.08/225,359.23
  6. Step 6: Final answer
    x = 200,133.95

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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.