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Finding the Fourth Proportional to 285,497.38, 393,999.30 and 158,172.97

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Solution

The fourth proportional to 285,497.38, 393,999.30 and 158,172.97 is: 218,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,497.38 : 393,999.30 = 158,172.97 : x
  2. Step 2: Convert to fraction form
    285,497.38/393,999.30 = 158,172.97/x
  3. Step 3: Cross multiply
    285,497.38x = 393,999.30 × 158,172.97
  4. Step 4: Simplify right side
    285,497.38x = 62,320,038,668.06
  5. Step 5: Solve for x
    x = 62,320,038,668.06/285,497.38
  6. Step 6: Final answer
    x = 218,285.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.