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Finding the Fourth Proportional to 163,772.26, 226,019.01 and 92,148.10

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Solution

The fourth proportional to 163,772.26, 226,019.01 and 92,148.10 is: 127,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,772.26 : 226,019.01 = 92,148.10 : x
  2. Step 2: Convert to fraction form
    163,772.26/226,019.01 = 92,148.10/x
  3. Step 3: Cross multiply
    163,772.26x = 226,019.01 × 92,148.10
  4. Step 4: Simplify right side
    163,772.26x = 20,827,222,335.38
  5. Step 5: Solve for x
    x = 20,827,222,335.38/163,772.26
  6. Step 6: Final answer
    x = 127,171.86

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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.