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Finding the Fourth Proportional to 205,213.80, 307,302.30 and 134,711.40

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Solution

The fourth proportional to 205,213.80, 307,302.30 and 134,711.40 is: 201,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,213.80 : 307,302.30 = 134,711.40 : x
  2. Step 2: Convert to fraction form
    205,213.80/307,302.30 = 134,711.40/x
  3. Step 3: Cross multiply
    205,213.80x = 307,302.30 × 134,711.40
  4. Step 4: Simplify right side
    205,213.80x = 41,397,123,056.22
  5. Step 5: Solve for x
    x = 41,397,123,056.22/205,213.80
  6. Step 6: Final answer
    x = 201,726.80

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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.