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Finding the Fourth Proportional to 223,813.14, 335,719.71 and 90,668.58

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Solution

The fourth proportional to 223,813.14, 335,719.71 and 90,668.58 is: 136,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,813.14 : 335,719.71 = 90,668.58 : x
  2. Step 2: Convert to fraction form
    223,813.14/335,719.71 = 90,668.58/x
  3. Step 3: Cross multiply
    223,813.14x = 335,719.71 × 90,668.58
  4. Step 4: Simplify right side
    223,813.14x = 30,439,229,383.71
  5. Step 5: Solve for x
    x = 30,439,229,383.71/223,813.14
  6. Step 6: Final answer
    x = 136,002.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.