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Finding the Fourth Proportional to 259,520.82, 358,138.11 and 146,342.82

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Solution

The fourth proportional to 259,520.82, 358,138.11 and 146,342.82 is: 201,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,520.82 : 358,138.11 = 146,342.82 : x
  2. Step 2: Convert to fraction form
    259,520.82/358,138.11 = 146,342.82/x
  3. Step 3: Cross multiply
    259,520.82x = 358,138.11 × 146,342.82
  4. Step 4: Simplify right side
    259,520.82x = 52,410,940,966.87
  5. Step 5: Solve for x
    x = 52,410,940,966.87/259,520.82
  6. Step 6: Final answer
    x = 201,952.74

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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.