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Finding the Fourth Proportional to 322,184.94, 483,142.05 and 122,395.02

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Solution

The fourth proportional to 322,184.94, 483,142.05 and 122,395.02 is: 183,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,184.94 : 483,142.05 = 122,395.02 : x
  2. Step 2: Convert to fraction form
    322,184.94/483,142.05 = 122,395.02/x
  3. Step 3: Cross multiply
    322,184.94x = 483,142.05 × 122,395.02
  4. Step 4: Simplify right side
    322,184.94x = 59,134,180,872.59
  5. Step 5: Solve for x
    x = 59,134,180,872.59/322,184.94
  6. Step 6: Final answer
    x = 183,541.11

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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.