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Finding the Fourth Proportional to 267,338.16, 368,910.72 and 146,458.08

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Solution

The fourth proportional to 267,338.16, 368,910.72 and 146,458.08 is: 202,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,338.16 : 368,910.72 = 146,458.08 : x
  2. Step 2: Convert to fraction form
    267,338.16/368,910.72 = 146,458.08/x
  3. Step 3: Cross multiply
    267,338.16x = 368,910.72 × 146,458.08
  4. Step 4: Simplify right side
    267,338.16x = 54,029,955,742.62
  5. Step 5: Solve for x
    x = 54,029,955,742.62/267,338.16
  6. Step 6: Final answer
    x = 202,103.42

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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.