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Finding the Fourth Proportional to 254,687.66, 382,044.16 and 96,928.34

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Solution

The fourth proportional to 254,687.66, 382,044.16 and 96,928.34 is: 145,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,687.66 : 382,044.16 = 96,928.34 : x
  2. Step 2: Convert to fraction form
    254,687.66/382,044.16 = 96,928.34/x
  3. Step 3: Cross multiply
    254,687.66x = 382,044.16 × 96,928.34
  4. Step 4: Simplify right side
    254,687.66x = 37,030,906,235.49
  5. Step 5: Solve for x
    x = 37,030,906,235.49/254,687.66
  6. Step 6: Final answer
    x = 145,397.33

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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.