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Finding the Fourth Proportional to 164,854.38, 227,496.36 and 93,231.72

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Solution

The fourth proportional to 164,854.38, 227,496.36 and 93,231.72 is: 128,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,854.38 : 227,496.36 = 93,231.72 : x
  2. Step 2: Convert to fraction form
    164,854.38/227,496.36 = 93,231.72/x
  3. Step 3: Cross multiply
    164,854.38x = 227,496.36 × 93,231.72
  4. Step 4: Simplify right side
    164,854.38x = 21,209,876,936.54
  5. Step 5: Solve for x
    x = 21,209,876,936.54/164,854.38
  6. Step 6: Final answer
    x = 128,658.26

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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.