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Finding the Fourth Proportional to 453,521.82, 680,258.13 and 137,954.13

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Solution

The fourth proportional to 453,521.82, 680,258.13 and 137,954.13 is: 206,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,521.82 : 680,258.13 = 137,954.13 : x
  2. Step 2: Convert to fraction form
    453,521.82/680,258.13 = 137,954.13/x
  3. Step 3: Cross multiply
    453,521.82x = 680,258.13 × 137,954.13
  4. Step 4: Simplify right side
    453,521.82x = 93,844,418,499.58
  5. Step 5: Solve for x
    x = 93,844,418,499.58/453,521.82
  6. Step 6: Final answer
    x = 206,923.71

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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.