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Finding the Fourth Proportional to 203,983.40, 305,715.90 and 98,575.40

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Solution

The fourth proportional to 203,983.40, 305,715.90 and 98,575.40 is: 147,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,983.40 : 305,715.90 = 98,575.40 : x
  2. Step 2: Convert to fraction form
    203,983.40/305,715.90 = 98,575.40/x
  3. Step 3: Cross multiply
    203,983.40x = 305,715.90 × 98,575.40
  4. Step 4: Simplify right side
    203,983.40x = 30,136,067,128.86
  5. Step 5: Solve for x
    x = 30,136,067,128.86/203,983.40
  6. Step 6: Final answer
    x = 147,737.84

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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.