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Finding the Fourth Proportional to 205,761.96, 308,634.71 and 79,347.89

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Solution

The fourth proportional to 205,761.96, 308,634.71 and 79,347.89 is: 119,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,761.96 : 308,634.71 = 79,347.89 : x
  2. Step 2: Convert to fraction form
    205,761.96/308,634.71 = 79,347.89/x
  3. Step 3: Cross multiply
    205,761.96x = 308,634.71 × 79,347.89
  4. Step 4: Simplify right side
    205,761.96x = 24,489,513,394.11
  5. Step 5: Solve for x
    x = 24,489,513,394.11/205,761.96
  6. Step 6: Final answer
    x = 119,018.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.