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Finding the Fourth Proportional to 205,078.80, 307,666.80 and 105,254.40

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Solution

The fourth proportional to 205,078.80, 307,666.80 and 105,254.40 is: 157,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,078.80 : 307,666.80 = 105,254.40 : x
  2. Step 2: Convert to fraction form
    205,078.80/307,666.80 = 105,254.40/x
  3. Step 3: Cross multiply
    205,078.80x = 307,666.80 × 105,254.40
  4. Step 4: Simplify right side
    205,078.80x = 32,383,284,433.92
  5. Step 5: Solve for x
    x = 32,383,284,433.92/205,078.80
  6. Step 6: Final answer
    x = 157,906.54

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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.