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Finding the Fourth Proportional to 189,617.40, 284,426.10 and 166,289.40

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Solution

The fourth proportional to 189,617.40, 284,426.10 and 166,289.40 is: 249,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,617.40 : 284,426.10 = 166,289.40 : x
  2. Step 2: Convert to fraction form
    189,617.40/284,426.10 = 166,289.40/x
  3. Step 3: Cross multiply
    189,617.40x = 284,426.10 × 166,289.40
  4. Step 4: Simplify right side
    189,617.40x = 47,297,045,513.34
  5. Step 5: Solve for x
    x = 47,297,045,513.34/189,617.40
  6. Step 6: Final answer
    x = 249,434.10

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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.