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Finding the Fourth Proportional to 289,019.12, 398,861.88 and 161,687.12

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Solution

The fourth proportional to 289,019.12, 398,861.88 and 161,687.12 is: 223,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,019.12 : 398,861.88 = 161,687.12 : x
  2. Step 2: Convert to fraction form
    289,019.12/398,861.88 = 161,687.12/x
  3. Step 3: Cross multiply
    289,019.12x = 398,861.88 × 161,687.12
  4. Step 4: Simplify right side
    289,019.12x = 64,490,828,654.99
  5. Step 5: Solve for x
    x = 64,490,828,654.99/289,019.12
  6. Step 6: Final answer
    x = 223,136.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.