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Finding the Fourth Proportional to 205,528.49, 283,593.03 and 114,855.47

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Solution

The fourth proportional to 205,528.49, 283,593.03 and 114,855.47 is: 158,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,528.49 : 283,593.03 = 114,855.47 : x
  2. Step 2: Convert to fraction form
    205,528.49/283,593.03 = 114,855.47/x
  3. Step 3: Cross multiply
    205,528.49x = 283,593.03 × 114,855.47
  4. Step 4: Simplify right side
    205,528.49x = 32,572,209,331.41
  5. Step 5: Solve for x
    x = 32,572,209,331.41/205,528.49
  6. Step 6: Final answer
    x = 158,480.27

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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.