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Finding the Fourth Proportional to 259,517.66, 358,134.41 and 146,340.41

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Solution

The fourth proportional to 259,517.66, 358,134.41 and 146,340.41 is: 201,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,517.66 : 358,134.41 = 146,340.41 : x
  2. Step 2: Convert to fraction form
    259,517.66/358,134.41 = 146,340.41/x
  3. Step 3: Cross multiply
    259,517.66x = 358,134.41 × 146,340.41
  4. Step 4: Simplify right side
    259,517.66x = 52,409,534,969.69
  5. Step 5: Solve for x
    x = 52,409,534,969.69/259,517.66
  6. Step 6: Final answer
    x = 201,949.79

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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.