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Finding the Fourth Proportional to 154,772.80, 231,964.80 and 75,716.80

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Solution

The fourth proportional to 154,772.80, 231,964.80 and 75,716.80 is: 113,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,772.80 : 231,964.80 = 75,716.80 : x
  2. Step 2: Convert to fraction form
    154,772.80/231,964.80 = 75,716.80/x
  3. Step 3: Cross multiply
    154,772.80x = 231,964.80 × 75,716.80
  4. Step 4: Simplify right side
    154,772.80x = 17,563,632,368.64
  5. Step 5: Solve for x
    x = 17,563,632,368.64/154,772.80
  6. Step 6: Final answer
    x = 113,480.10

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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.