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Finding the Fourth Proportional to 254,758.80, 382,141.80 and 96,995.88

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Solution

The fourth proportional to 254,758.80, 382,141.80 and 96,995.88 is: 145,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,758.80 : 382,141.80 = 96,995.88 : x
  2. Step 2: Convert to fraction form
    254,758.80/382,141.80 = 96,995.88/x
  3. Step 3: Cross multiply
    254,758.80x = 382,141.80 × 96,995.88
  4. Step 4: Simplify right side
    254,758.80x = 37,066,180,175.78
  5. Step 5: Solve for x
    x = 37,066,180,175.78/254,758.80
  6. Step 6: Final answer
    x = 145,495.19

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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.