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Finding the Fourth Proportional to 164,537.10, 227,036.70 and 92,915.70

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Solution

The fourth proportional to 164,537.10, 227,036.70 and 92,915.70 is: 128,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,537.10 : 227,036.70 = 92,915.70 : x
  2. Step 2: Convert to fraction form
    164,537.10/227,036.70 = 92,915.70/x
  3. Step 3: Cross multiply
    164,537.10x = 227,036.70 × 92,915.70
  4. Step 4: Simplify right side
    164,537.10x = 21,095,273,906.19
  5. Step 5: Solve for x
    x = 21,095,273,906.19/164,537.10
  6. Step 6: Final answer
    x = 128,209.83

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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.