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Finding the Fourth Proportional to 259,954.62, 358,759.35 and 146,797.98

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Solution

The fourth proportional to 259,954.62, 358,759.35 and 146,797.98 is: 202,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,954.62 : 358,759.35 = 146,797.98 : x
  2. Step 2: Convert to fraction form
    259,954.62/358,759.35 = 146,797.98/x
  3. Step 3: Cross multiply
    259,954.62x = 358,759.35 × 146,797.98
  4. Step 4: Simplify right side
    259,954.62x = 52,665,147,886.11
  5. Step 5: Solve for x
    x = 52,665,147,886.11/259,954.62
  6. Step 6: Final answer
    x = 202,593.62

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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.