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Finding the Fourth Proportional to 205,133.40, 307,700.10 and 72,163.80

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Solution

The fourth proportional to 205,133.40, 307,700.10 and 72,163.80 is: 108,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,133.40 : 307,700.10 = 72,163.80 : x
  2. Step 2: Convert to fraction form
    205,133.40/307,700.10 = 72,163.80/x
  3. Step 3: Cross multiply
    205,133.40x = 307,700.10 × 72,163.80
  4. Step 4: Simplify right side
    205,133.40x = 22,204,808,476.38
  5. Step 5: Solve for x
    x = 22,204,808,476.38/205,133.40
  6. Step 6: Final answer
    x = 108,245.70

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