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Finding the Fourth Proportional to 206,743.60, 309,918.54 and 66,403.82

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Solution

The fourth proportional to 206,743.60, 309,918.54 and 66,403.82 is: 99,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,743.60 : 309,918.54 = 66,403.82 : x
  2. Step 2: Convert to fraction form
    206,743.60/309,918.54 = 66,403.82/x
  3. Step 3: Cross multiply
    206,743.60x = 309,918.54 × 66,403.82
  4. Step 4: Simplify right side
    206,743.60x = 20,579,774,944.82
  5. Step 5: Solve for x
    x = 20,579,774,944.82/206,743.60
  6. Step 6: Final answer
    x = 99,542.50

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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.