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Finding the Fourth Proportional to 206,089.08, 308,692.35 and 155,613.12

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Solution

The fourth proportional to 206,089.08, 308,692.35 and 155,613.12 is: 233,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,089.08 : 308,692.35 = 155,613.12 : x
  2. Step 2: Convert to fraction form
    206,089.08/308,692.35 = 155,613.12/x
  3. Step 3: Cross multiply
    206,089.08x = 308,692.35 × 155,613.12
  4. Step 4: Simplify right side
    206,089.08x = 48,036,579,703.63
  5. Step 5: Solve for x
    x = 48,036,579,703.63/206,089.08
  6. Step 6: Final answer
    x = 233,086.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.