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Finding the Fourth Proportional to 200,909.70, 301,534.65 and 82,665.90

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Solution

The fourth proportional to 200,909.70, 301,534.65 and 82,665.90 is: 124,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.70 : 301,534.65 = 82,665.90 : x
  2. Step 2: Convert to fraction form
    200,909.70/301,534.65 = 82,665.90/x
  3. Step 3: Cross multiply
    200,909.70x = 301,534.65 × 82,665.90
  4. Step 4: Simplify right side
    200,909.70x = 24,926,633,223.44
  5. Step 5: Solve for x
    x = 24,926,633,223.44/200,909.70
  6. Step 6: Final answer
    x = 124,068.84

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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.