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Finding the Fourth Proportional to 133,047.50, 199,658.73 and 49,941.50

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Solution

The fourth proportional to 133,047.50, 199,658.73 and 49,941.50 is: 74,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047.50 : 199,658.73 = 49,941.50 : x
  2. Step 2: Convert to fraction form
    133,047.50/199,658.73 = 49,941.50/x
  3. Step 3: Cross multiply
    133,047.50x = 199,658.73 × 49,941.50
  4. Step 4: Simplify right side
    133,047.50x = 9,971,256,464.30
  5. Step 5: Solve for x
    x = 9,971,256,464.30/133,047.50
  6. Step 6: Final answer
    x = 74,945.09

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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.