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Finding the Fourth Proportional to 114,022.81, 171,062.05 and 80,354.48

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Solution

The fourth proportional to 114,022.81, 171,062.05 and 80,354.48 is: 120,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,022.81 : 171,062.05 = 80,354.48 : x
  2. Step 2: Convert to fraction form
    114,022.81/171,062.05 = 80,354.48/x
  3. Step 3: Cross multiply
    114,022.81x = 171,062.05 × 80,354.48
  4. Step 4: Simplify right side
    114,022.81x = 13,745,602,358.17
  5. Step 5: Solve for x
    x = 13,745,602,358.17/114,022.81
  6. Step 6: Final answer
    x = 120,551.33

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Why These Related Problems?

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