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Finding the Fourth Proportional to 205,781.90, 310,215.21 and 192,065.31

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Solution

The fourth proportional to 205,781.90, 310,215.21 and 192,065.31 is: 289,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,781.90 : 310,215.21 = 192,065.31 : x
  2. Step 2: Convert to fraction form
    205,781.90/310,215.21 = 192,065.31/x
  3. Step 3: Cross multiply
    205,781.90x = 310,215.21 × 192,065.31
  4. Step 4: Simplify right side
    205,781.90x = 59,581,578,924.29
  5. Step 5: Solve for x
    x = 59,581,578,924.29/205,781.90
  6. Step 6: Final answer
    x = 289,537.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.