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Finding the Fourth Proportional to 164,591.38, 227,140.77 and 92,974.42

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Solution

The fourth proportional to 164,591.38, 227,140.77 and 92,974.42 is: 128,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,591.38 : 227,140.77 = 92,974.42 : x
  2. Step 2: Convert to fraction form
    164,591.38/227,140.77 = 92,974.42/x
  3. Step 3: Cross multiply
    164,591.38x = 227,140.77 × 92,974.42
  4. Step 4: Simplify right side
    164,591.38x = 21,118,281,349.10
  5. Step 5: Solve for x
    x = 21,118,281,349.10/164,591.38
  6. Step 6: Final answer
    x = 128,307.34

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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.