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Finding the Fourth Proportional to 205,549.34, 283,661.82 and 114,895.57

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Solution

The fourth proportional to 205,549.34, 283,661.82 and 114,895.57 is: 158,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,549.34 : 283,661.82 = 114,895.57 : x
  2. Step 2: Convert to fraction form
    205,549.34/283,661.82 = 114,895.57/x
  3. Step 3: Cross multiply
    205,549.34x = 283,661.82 × 114,895.57
  4. Step 4: Simplify right side
    205,549.34x = 32,591,487,493.28
  5. Step 5: Solve for x
    x = 32,591,487,493.28/205,549.34
  6. Step 6: Final answer
    x = 158,557.98

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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.