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Finding the Fourth Proportional to 203,934.60, 305,901.90 and 133,075.80

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Solution

The fourth proportional to 203,934.60, 305,901.90 and 133,075.80 is: 199,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,934.60 : 305,901.90 = 133,075.80 : x
  2. Step 2: Convert to fraction form
    203,934.60/305,901.90 = 133,075.80/x
  3. Step 3: Cross multiply
    203,934.60x = 305,901.90 × 133,075.80
  4. Step 4: Simplify right side
    203,934.60x = 40,708,140,064.02
  5. Step 5: Solve for x
    x = 40,708,140,064.02/203,934.60
  6. Step 6: Final answer
    x = 199,613.70

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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.