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Finding the Fourth Proportional to 200,809.70, 301,205.42 and 88,459.86

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Solution

The fourth proportional to 200,809.70, 301,205.42 and 88,459.86 is: 132,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809.70 : 301,205.42 = 88,459.86 : x
  2. Step 2: Convert to fraction form
    200,809.70/301,205.42 = 88,459.86/x
  3. Step 3: Cross multiply
    200,809.70x = 301,205.42 × 88,459.86
  4. Step 4: Simplify right side
    200,809.70x = 26,644,589,284.44
  5. Step 5: Solve for x
    x = 26,644,589,284.44/200,809.70
  6. Step 6: Final answer
    x = 132,685.77

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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.