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Finding the Fourth Proportional to 207,145.28, 285,907.68 and 146,653.04

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Solution

The fourth proportional to 207,145.28, 285,907.68 and 146,653.04 is: 202,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,145.28 : 285,907.68 = 146,653.04 : x
  2. Step 2: Convert to fraction form
    207,145.28/285,907.68 = 146,653.04/x
  3. Step 3: Cross multiply
    207,145.28x = 285,907.68 × 146,653.04
  4. Step 4: Simplify right side
    207,145.28x = 41,929,230,431.35
  5. Step 5: Solve for x
    x = 41,929,230,431.35/207,145.28
  6. Step 6: Final answer
    x = 202,414.61

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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.