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Finding the Fourth Proportional to 154,444.80, 231,796.80 and 75,626.40

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Solution

The fourth proportional to 154,444.80, 231,796.80 and 75,626.40 is: 113,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,444.80 : 231,796.80 = 75,626.40 : x
  2. Step 2: Convert to fraction form
    154,444.80/231,796.80 = 75,626.40/x
  3. Step 3: Cross multiply
    154,444.80x = 231,796.80 × 75,626.40
  4. Step 4: Simplify right side
    154,444.80x = 17,529,957,515.52
  5. Step 5: Solve for x
    x = 17,529,957,515.52/154,444.80
  6. Step 6: Final answer
    x = 113,503.06

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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.