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Finding the Fourth Proportional to 119,418.98, 164,794.10 and 65,703.56

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Solution

The fourth proportional to 119,418.98, 164,794.10 and 65,703.56 is: 90,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,418.98 : 164,794.10 = 65,703.56 : x
  2. Step 2: Convert to fraction form
    119,418.98/164,794.10 = 65,703.56/x
  3. Step 3: Cross multiply
    119,418.98x = 164,794.10 × 65,703.56
  4. Step 4: Simplify right side
    119,418.98x = 10,827,557,884.51
  5. Step 5: Solve for x
    x = 10,827,557,884.51/119,418.98
  6. Step 6: Final answer
    x = 90,668.66

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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.