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Finding the Fourth Proportional to 454,960.67, 682,381.54 and 135,106.00

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Solution

The fourth proportional to 454,960.67, 682,381.54 and 135,106.00 is: 202,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,960.67 : 682,381.54 = 135,106.00 : x
  2. Step 2: Convert to fraction form
    454,960.67/682,381.54 = 135,106.00/x
  3. Step 3: Cross multiply
    454,960.67x = 682,381.54 × 135,106.00
  4. Step 4: Simplify right side
    454,960.67x = 92,193,840,345.38
  5. Step 5: Solve for x
    x = 92,193,840,345.38/454,960.67
  6. Step 6: Final answer
    x = 202,641.34

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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.