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Finding the Fourth Proportional to 225,350.71, 311,194.71 and 144,917.91

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Solution

The fourth proportional to 225,350.71, 311,194.71 and 144,917.91 is: 200,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,350.71 : 311,194.71 = 144,917.91 : x
  2. Step 2: Convert to fraction form
    225,350.71/311,194.71 = 144,917.91/x
  3. Step 3: Cross multiply
    225,350.71x = 311,194.71 × 144,917.91
  4. Step 4: Simplify right side
    225,350.71x = 45,097,686,976.26
  5. Step 5: Solve for x
    x = 45,097,686,976.26/225,350.71
  6. Step 6: Final answer
    x = 200,122.23

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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.