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Finding the Fourth Proportional to 206,232.98, 284,602.05 and 116,808.98

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Solution

The fourth proportional to 206,232.98, 284,602.05 and 116,808.98 is: 161,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,232.98 : 284,602.05 = 116,808.98 : x
  2. Step 2: Convert to fraction form
    206,232.98/284,602.05 = 116,808.98/x
  3. Step 3: Cross multiply
    206,232.98x = 284,602.05 × 116,808.98
  4. Step 4: Simplify right side
    206,232.98x = 33,244,075,166.41
  5. Step 5: Solve for x
    x = 33,244,075,166.41/206,232.98
  6. Step 6: Final answer
    x = 161,196.70

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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.