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Finding the Fourth Proportional to 451,807.29, 677,715.80 and 136,266.93

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Solution

The fourth proportional to 451,807.29, 677,715.80 and 136,266.93 is: 204,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,807.29 : 677,715.80 = 136,266.93 : x
  2. Step 2: Convert to fraction form
    451,807.29/677,715.80 = 136,266.93/x
  3. Step 3: Cross multiply
    451,807.29x = 677,715.80 × 136,266.93
  4. Step 4: Simplify right side
    451,807.29x = 92,350,250,797.16
  5. Step 5: Solve for x
    x = 92,350,250,797.16/451,807.29
  6. Step 6: Final answer
    x = 204,401.86

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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.