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Finding the Fourth Proportional to 114,607.13, 171,945.90 and 54,712.04

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Solution

The fourth proportional to 114,607.13, 171,945.90 and 54,712.04 is: 82,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,607.13 : 171,945.90 = 54,712.04 : x
  2. Step 2: Convert to fraction form
    114,607.13/171,945.90 = 54,712.04/x
  3. Step 3: Cross multiply
    114,607.13x = 171,945.90 × 54,712.04
  4. Step 4: Simplify right side
    114,607.13x = 9,407,510,958.64
  5. Step 5: Solve for x
    x = 9,407,510,958.64/114,607.13
  6. Step 6: Final answer
    x = 82,084.87

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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.