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Finding the Fourth Proportional to 205,485.69, 283,490.15 and 128,960.13

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Solution

The fourth proportional to 205,485.69, 283,490.15 and 128,960.13 is: 177,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,485.69 : 283,490.15 = 128,960.13 : x
  2. Step 2: Convert to fraction form
    205,485.69/283,490.15 = 128,960.13/x
  3. Step 3: Cross multiply
    205,485.69x = 283,490.15 × 128,960.13
  4. Step 4: Simplify right side
    205,485.69x = 36,558,926,597.72
  5. Step 5: Solve for x
    x = 36,558,926,597.72/205,485.69
  6. Step 6: Final answer
    x = 177,914.71

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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.