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Finding the Fourth Proportional to 205,167.80, 307,233.30 and 134,665.40

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Solution

The fourth proportional to 205,167.80, 307,233.30 and 134,665.40 is: 201,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,167.80 : 307,233.30 = 134,665.40 : x
  2. Step 2: Convert to fraction form
    205,167.80/307,233.30 = 134,665.40/x
  3. Step 3: Cross multiply
    205,167.80x = 307,233.30 × 134,665.40
  4. Step 4: Simplify right side
    205,167.80x = 41,373,695,237.82
  5. Step 5: Solve for x
    x = 41,373,695,237.82/205,167.80
  6. Step 6: Final answer
    x = 201,657.84

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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.