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Finding the Fourth Proportional to 205,885.84, 284,082.08 and 129,360.60

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Solution

The fourth proportional to 205,885.84, 284,082.08 and 129,360.60 is: 178,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,885.84 : 284,082.08 = 129,360.60 : x
  2. Step 2: Convert to fraction form
    205,885.84/284,082.08 = 129,360.60/x
  3. Step 3: Cross multiply
    205,885.84x = 284,082.08 × 129,360.60
  4. Step 4: Simplify right side
    205,885.84x = 36,749,028,318.05
  5. Step 5: Solve for x
    x = 36,749,028,318.05/205,885.84
  6. Step 6: Final answer
    x = 178,492.26

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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.