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Finding the Fourth Proportional to 289,389.96, 399,362.64 and 166,814.70

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Solution

The fourth proportional to 289,389.96, 399,362.64 and 166,814.70 is: 230,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,389.96 : 399,362.64 = 166,814.70 : x
  2. Step 2: Convert to fraction form
    289,389.96/399,362.64 = 166,814.70/x
  3. Step 3: Cross multiply
    289,389.96x = 399,362.64 × 166,814.70
  4. Step 4: Simplify right side
    289,389.96x = 66,619,558,982.81
  5. Step 5: Solve for x
    x = 66,619,558,982.81/289,389.96
  6. Step 6: Final answer
    x = 230,206.88

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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.