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Finding the Fourth Proportional to 119,462.10, 164,857.80 and 65,751

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Solution

The fourth proportional to 119,462.10, 164,857.80 and 65,751 is: 90,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,462.10 : 164,857.80 = 65,751 : x
  2. Step 2: Convert to fraction form
    119,462.10/164,857.80 = 65,751/x
  3. Step 3: Cross multiply
    119,462.10x = 164,857.80 × 65,751
  4. Step 4: Simplify right side
    119,462.10x = 10,839,565,207.80
  5. Step 5: Solve for x
    x = 10,839,565,207.80/119,462.10
  6. Step 6: Final answer
    x = 90,736.44

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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.