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Finding the Fourth Proportional to 268,083.81, 369,956.70 and 145,576.58

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Solution

The fourth proportional to 268,083.81, 369,956.70 and 145,576.58 is: 200,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,083.81 : 369,956.70 = 145,576.58 : x
  2. Step 2: Convert to fraction form
    268,083.81/369,956.70 = 145,576.58/x
  3. Step 3: Cross multiply
    268,083.81x = 369,956.70 × 145,576.58
  4. Step 4: Simplify right side
    268,083.81x = 53,857,029,284.30
  5. Step 5: Solve for x
    x = 53,857,029,284.30/268,083.81
  6. Step 6: Final answer
    x = 200,896.24

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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.