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Finding the Fourth Proportional to 254,687.65, 382,044.17 and 96,928.33

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Solution

The fourth proportional to 254,687.65, 382,044.17 and 96,928.33 is: 145,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,687.65 : 382,044.17 = 96,928.33 : x
  2. Step 2: Convert to fraction form
    254,687.65/382,044.17 = 96,928.33/x
  3. Step 3: Cross multiply
    254,687.65x = 382,044.17 × 96,928.33
  4. Step 4: Simplify right side
    254,687.65x = 37,030,903,384.34
  5. Step 5: Solve for x
    x = 37,030,903,384.34/254,687.65
  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.