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Finding the Fourth Proportional to 225,090.90, 312,046.02 and 213,106.14

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Solution

The fourth proportional to 225,090.90, 312,046.02 and 213,106.14 is: 295,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,090.90 : 312,046.02 = 213,106.14 : x
  2. Step 2: Convert to fraction form
    225,090.90/312,046.02 = 213,106.14/x
  3. Step 3: Cross multiply
    225,090.90x = 312,046.02 × 213,106.14
  4. Step 4: Simplify right side
    225,090.90x = 66,498,922,824.56
  5. Step 5: Solve for x
    x = 66,498,922,824.56/225,090.90
  6. Step 6: Final answer
    x = 295,431.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.