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Finding the Fourth Proportional to 254,937.24, 382,405.74 and 77,443.56

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Solution

The fourth proportional to 254,937.24, 382,405.74 and 77,443.56 is: 116,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,937.24 : 382,405.74 = 77,443.56 : x
  2. Step 2: Convert to fraction form
    254,937.24/382,405.74 = 77,443.56/x
  3. Step 3: Cross multiply
    254,937.24x = 382,405.74 × 77,443.56
  4. Step 4: Simplify right side
    254,937.24x = 29,614,861,870.03
  5. Step 5: Solve for x
    x = 29,614,861,870.03/254,937.24
  6. Step 6: Final answer
    x = 116,165.30

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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.