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Finding the Fourth Proportional to 205,929, 284,186.76 and 115,282.68

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Solution

The fourth proportional to 205,929, 284,186.76 and 115,282.68 is: 159,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,929 : 284,186.76 = 115,282.68 : x
  2. Step 2: Convert to fraction form
    205,929/284,186.76 = 115,282.68/x
  3. Step 3: Cross multiply
    205,929x = 284,186.76 × 115,282.68
  4. Step 4: Simplify right side
    205,929x = 32,761,811,313.32
  5. Step 5: Solve for x
    x = 32,761,811,313.32/205,929
  6. Step 6: Final answer
    x = 159,092.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.