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Finding the Fourth Proportional to 205,108.28, 307,694.94 and 86,780.50

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Solution

The fourth proportional to 205,108.28, 307,694.94 and 86,780.50 is: 130,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,108.28 : 307,694.94 = 86,780.50 : x
  2. Step 2: Convert to fraction form
    205,108.28/307,694.94 = 86,780.50/x
  3. Step 3: Cross multiply
    205,108.28x = 307,694.94 × 86,780.50
  4. Step 4: Simplify right side
    205,108.28x = 26,701,920,740.67
  5. Step 5: Solve for x
    x = 26,701,920,740.67/205,108.28
  6. Step 6: Final answer
    x = 130,184.51

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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.