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Finding the Fourth Proportional to 200,755.40, 301,129.62 and 48,953.80

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Solution

The fourth proportional to 200,755.40, 301,129.62 and 48,953.80 is: 73,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.40 : 301,129.62 = 48,953.80 : x
  2. Step 2: Convert to fraction form
    200,755.40/301,129.62 = 48,953.80/x
  3. Step 3: Cross multiply
    200,755.40x = 301,129.62 × 48,953.80
  4. Step 4: Simplify right side
    200,755.40x = 14,741,439,191.56
  5. Step 5: Solve for x
    x = 14,741,439,191.56/200,755.40
  6. Step 6: Final answer
    x = 73,429.85

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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.