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Finding the Fourth Proportional to 114,461.80, 171,644.10 and 55,315.60

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Solution

The fourth proportional to 114,461.80, 171,644.10 and 55,315.60 is: 82,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,461.80 : 171,644.10 = 55,315.60 : x
  2. Step 2: Convert to fraction form
    114,461.80/171,644.10 = 55,315.60/x
  3. Step 3: Cross multiply
    114,461.80x = 171,644.10 × 55,315.60
  4. Step 4: Simplify right side
    114,461.80x = 9,494,596,377.96
  5. Step 5: Solve for x
    x = 9,494,596,377.96/114,461.80
  6. Step 6: Final answer
    x = 82,949.91

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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.