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Finding the Fourth Proportional to 259,517.70, 358,073.19 and 146,318.58

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Solution

The fourth proportional to 259,517.70, 358,073.19 and 146,318.58 is: 201,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,517.70 : 358,073.19 = 146,318.58 : x
  2. Step 2: Convert to fraction form
    259,517.70/358,073.19 = 146,318.58/x
  3. Step 3: Cross multiply
    259,517.70x = 358,073.19 × 146,318.58
  4. Step 4: Simplify right side
    259,517.70x = 52,392,760,696.87
  5. Step 5: Solve for x
    x = 52,392,760,696.87/259,517.70
  6. Step 6: Final answer
    x = 201,885.11

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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.