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Finding the Fourth Proportional to 211,999.80, 317,999.70 and 149,791.80

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Solution

The fourth proportional to 211,999.80, 317,999.70 and 149,791.80 is: 224,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,999.80 : 317,999.70 = 149,791.80 : x
  2. Step 2: Convert to fraction form
    211,999.80/317,999.70 = 149,791.80/x
  3. Step 3: Cross multiply
    211,999.80x = 317,999.70 × 149,791.80
  4. Step 4: Simplify right side
    211,999.80x = 47,633,747,462.46
  5. Step 5: Solve for x
    x = 47,633,747,462.46/211,999.80
  6. Step 6: Final answer
    x = 224,687.70

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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.