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Finding the Fourth Proportional to 119,324.80, 164,668.83 and 65,613.28

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Solution

The fourth proportional to 119,324.80, 164,668.83 and 65,613.28 is: 90,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,324.80 : 164,668.83 = 65,613.28 : x
  2. Step 2: Convert to fraction form
    119,324.80/164,668.83 = 65,613.28/x
  3. Step 3: Cross multiply
    119,324.80x = 164,668.83 × 65,613.28
  4. Step 4: Simplify right side
    119,324.80x = 10,804,461,226.72
  5. Step 5: Solve for x
    x = 10,804,461,226.72/119,324.80
  6. Step 6: Final answer
    x = 90,546.66

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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.