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Finding the Fourth Proportional to 164,578.53, 227,117.16 and 92,972.55

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Solution

The fourth proportional to 164,578.53, 227,117.16 and 92,972.55 is: 128,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,578.53 : 227,117.16 = 92,972.55 : x
  2. Step 2: Convert to fraction form
    164,578.53/227,117.16 = 92,972.55/x
  3. Step 3: Cross multiply
    164,578.53x = 227,117.16 × 92,972.55
  4. Step 4: Simplify right side
    164,578.53x = 21,115,661,513.96
  5. Step 5: Solve for x
    x = 21,115,661,513.96/164,578.53
  6. Step 6: Final answer
    x = 128,301.43

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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.