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Finding the Fourth Proportional to 153,940.65, 230,924.07 and 54,092.22

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Solution

The fourth proportional to 153,940.65, 230,924.07 and 54,092.22 is: 81,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,940.65 : 230,924.07 = 54,092.22 : x
  2. Step 2: Convert to fraction form
    153,940.65/230,924.07 = 54,092.22/x
  3. Step 3: Cross multiply
    153,940.65x = 230,924.07 × 54,092.22
  4. Step 4: Simplify right side
    153,940.65x = 12,491,195,597.74
  5. Step 5: Solve for x
    x = 12,491,195,597.74/153,940.65
  6. Step 6: Final answer
    x = 81,142.93

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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.