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Finding the Fourth Proportional to 225,482.28, 338,245.80 and 83,364.84

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Solution

The fourth proportional to 225,482.28, 338,245.80 and 83,364.84 is: 125,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,482.28 : 338,245.80 = 83,364.84 : x
  2. Step 2: Convert to fraction form
    225,482.28/338,245.80 = 83,364.84/x
  3. Step 3: Cross multiply
    225,482.28x = 338,245.80 × 83,364.84
  4. Step 4: Simplify right side
    225,482.28x = 28,197,806,997.67
  5. Step 5: Solve for x
    x = 28,197,806,997.67/225,482.28
  6. Step 6: Final answer
    x = 125,055.53

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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.