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Finding the Fourth Proportional to 114,123.80, 171,185.70 and 54,945.20

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Solution

The fourth proportional to 114,123.80, 171,185.70 and 54,945.20 is: 82,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,123.80 : 171,185.70 = 54,945.20 : x
  2. Step 2: Convert to fraction form
    114,123.80/171,185.70 = 54,945.20/x
  3. Step 3: Cross multiply
    114,123.80x = 171,185.70 × 54,945.20
  4. Step 4: Simplify right side
    114,123.80x = 9,405,832,523.64
  5. Step 5: Solve for x
    x = 9,405,832,523.64/114,123.80
  6. Step 6: Final answer
    x = 82,417.80

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1.5x scale

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.