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Finding the Fourth Proportional to 206,139.42, 285,045.03 and 163,624.14

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Solution

The fourth proportional to 206,139.42, 285,045.03 and 163,624.14 is: 226,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,139.42 : 285,045.03 = 163,624.14 : x
  2. Step 2: Convert to fraction form
    206,139.42/285,045.03 = 163,624.14/x
  3. Step 3: Cross multiply
    206,139.42x = 285,045.03 × 163,624.14
  4. Step 4: Simplify right side
    206,139.42x = 46,640,247,895.02
  5. Step 5: Solve for x
    x = 46,640,247,895.02/206,139.42
  6. Step 6: Final answer
    x = 226,255.84

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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.