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Finding the Fourth Proportional to 200,897.70, 301,516.65 and 82,653.90

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Solution

The fourth proportional to 200,897.70, 301,516.65 and 82,653.90 is: 124,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,897.70 : 301,516.65 = 82,653.90 : x
  2. Step 2: Convert to fraction form
    200,897.70/301,516.65 = 82,653.90/x
  3. Step 3: Cross multiply
    200,897.70x = 301,516.65 × 82,653.90
  4. Step 4: Simplify right side
    200,897.70x = 24,921,527,037.44
  5. Step 5: Solve for x
    x = 24,921,527,037.44/200,897.70
  6. Step 6: Final answer
    x = 124,050.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.