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Finding the Fourth Proportional to 230,243.97, 344,728.31 and 117,681.81

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Solution

The fourth proportional to 230,243.97, 344,728.31 and 117,681.81 is: 176,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,243.97 : 344,728.31 = 117,681.81 : x
  2. Step 2: Convert to fraction form
    230,243.97/344,728.31 = 117,681.81/x
  3. Step 3: Cross multiply
    230,243.97x = 344,728.31 × 117,681.81
  4. Step 4: Simplify right side
    230,243.97x = 40,568,251,537.00
  5. Step 5: Solve for x
    x = 40,568,251,537.00/230,243.97
  6. Step 6: Final answer
    x = 176,196.80

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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.