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Finding the Fourth Proportional to 133,633.61, 200,309.60 and 49,339.81

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Solution

The fourth proportional to 133,633.61, 200,309.60 and 49,339.81 is: 73,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,633.61 : 200,309.60 = 49,339.81 : x
  2. Step 2: Convert to fraction form
    133,633.61/200,309.60 = 49,339.81/x
  3. Step 3: Cross multiply
    133,633.61x = 200,309.60 × 49,339.81
  4. Step 4: Simplify right side
    133,633.61x = 9,883,237,227.75
  5. Step 5: Solve for x
    x = 9,883,237,227.75/133,633.61
  6. Step 6: Final answer
    x = 73,957.72

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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.