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Finding the Fourth Proportional to 453,521.95, 680,258.32 and 137,954.25

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Solution

The fourth proportional to 453,521.95, 680,258.32 and 137,954.25 is: 206,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,521.95 : 680,258.32 = 137,954.25 : x
  2. Step 2: Convert to fraction form
    453,521.95/680,258.32 = 137,954.25/x
  3. Step 3: Cross multiply
    453,521.95x = 680,258.32 × 137,954.25
  4. Step 4: Simplify right side
    453,521.95x = 93,844,525,996.97
  5. Step 5: Solve for x
    x = 93,844,525,996.97/453,521.95
  6. Step 6: Final answer
    x = 206,923.89

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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.