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Finding the Fourth Proportional to 136,406.94, 204,622.40 and 41,658.50

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Solution

The fourth proportional to 136,406.94, 204,622.40 and 41,658.50 is: 62,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,406.94 : 204,622.40 = 41,658.50 : x
  2. Step 2: Convert to fraction form
    136,406.94/204,622.40 = 41,658.50/x
  3. Step 3: Cross multiply
    136,406.94x = 204,622.40 × 41,658.50
  4. Step 4: Simplify right side
    136,406.94x = 8,524,262,866.10
  5. Step 5: Solve for x
    x = 8,524,262,866.10/136,406.94
  6. Step 6: Final answer
    x = 62,491.42

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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.