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Finding the Fourth Proportional to 119,207.69, 164,508.43 and 65,493.75

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Solution

The fourth proportional to 119,207.69, 164,508.43 and 65,493.75 is: 90,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,207.69 : 164,508.43 = 65,493.75 : x
  2. Step 2: Convert to fraction form
    119,207.69/164,508.43 = 65,493.75/x
  3. Step 3: Cross multiply
    119,207.69x = 164,508.43 × 65,493.75
  4. Step 4: Simplify right side
    119,207.69x = 10,774,273,987.31
  5. Step 5: Solve for x
    x = 10,774,273,987.31/119,207.69
  6. Step 6: Final answer
    x = 90,382.37

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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.