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Finding the Fourth Proportional to 114,145.20, 171,204.80 and 44,018.64

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Solution

The fourth proportional to 114,145.20, 171,204.80 and 44,018.64 is: 66,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,145.20 : 171,204.80 = 44,018.64 : x
  2. Step 2: Convert to fraction form
    114,145.20/171,204.80 = 44,018.64/x
  3. Step 3: Cross multiply
    114,145.20x = 171,204.80 × 44,018.64
  4. Step 4: Simplify right side
    114,145.20x = 7,536,202,457.47
  5. Step 5: Solve for x
    x = 7,536,202,457.47/114,145.20
  6. Step 6: Final answer
    x = 66,022.95

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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.