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Finding the Fourth Proportional to 285,792.88, 428,537.58 and 96,189.97

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Solution

The fourth proportional to 285,792.88, 428,537.58 and 96,189.97 is: 144,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,792.88 : 428,537.58 = 96,189.97 : x
  2. Step 2: Convert to fraction form
    285,792.88/428,537.58 = 96,189.97/x
  3. Step 3: Cross multiply
    285,792.88x = 428,537.58 × 96,189.97
  4. Step 4: Simplify right side
    285,792.88x = 41,221,016,964.07
  5. Step 5: Solve for x
    x = 41,221,016,964.07/285,792.88
  6. Step 6: Final answer
    x = 144,233.88

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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.