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Finding the Fourth Proportional to 215,465.40, 323,198.10 and 82,277.10

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Solution

The fourth proportional to 215,465.40, 323,198.10 and 82,277.10 is: 123,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,465.40 : 323,198.10 = 82,277.10 : x
  2. Step 2: Convert to fraction form
    215,465.40/323,198.10 = 82,277.10/x
  3. Step 3: Cross multiply
    215,465.40x = 323,198.10 × 82,277.10
  4. Step 4: Simplify right side
    215,465.40x = 26,591,802,393.51
  5. Step 5: Solve for x
    x = 26,591,802,393.51/215,465.40
  6. Step 6: Final answer
    x = 123,415.65

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1.5x scale

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.