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Finding the Fourth Proportional to 205,730.20, 308,012.10 and 182,402.20

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Solution

The fourth proportional to 205,730.20, 308,012.10 and 182,402.20 is: 273,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,730.20 : 308,012.10 = 182,402.20 : x
  2. Step 2: Convert to fraction form
    205,730.20/308,012.10 = 182,402.20/x
  3. Step 3: Cross multiply
    205,730.20x = 308,012.10 × 182,402.20
  4. Step 4: Simplify right side
    205,730.20x = 56,182,084,666.62
  5. Step 5: Solve for x
    x = 56,182,084,666.62/205,730.20
  6. Step 6: Final answer
    x = 273,086.23

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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.