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Finding the Fourth Proportional to 133,535.67, 200,256.12 and 49,277.85

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Solution

The fourth proportional to 133,535.67, 200,256.12 and 49,277.85 is: 73,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,535.67 : 200,256.12 = 49,277.85 : x
  2. Step 2: Convert to fraction form
    133,535.67/200,256.12 = 49,277.85/x
  3. Step 3: Cross multiply
    133,535.67x = 200,256.12 × 49,277.85
  4. Step 4: Simplify right side
    133,535.67x = 9,868,191,042.94
  5. Step 5: Solve for x
    x = 9,868,191,042.94/133,535.67
  6. Step 6: Final answer
    x = 73,899.29

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1.5x scale

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.