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Finding the Fourth Proportional to 403,855.81, 605,855.77 and 134,000.12

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Solution

The fourth proportional to 403,855.81, 605,855.77 and 134,000.12 is: 201,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,855.81 : 605,855.77 = 134,000.12 : x
  2. Step 2: Convert to fraction form
    403,855.81/605,855.77 = 134,000.12/x
  3. Step 3: Cross multiply
    403,855.81x = 605,855.77 × 134,000.12
  4. Step 4: Simplify right side
    403,855.81x = 81,184,747,062.33
  5. Step 5: Solve for x
    x = 81,184,747,062.33/403,855.81
  6. Step 6: Final answer
    x = 201,024.09

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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.