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Finding the Fourth Proportional to 230,874.39, 346,524.47 and 117,102.05

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Solution

The fourth proportional to 230,874.39, 346,524.47 and 117,102.05 is: 175,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,874.39 : 346,524.47 = 117,102.05 : x
  2. Step 2: Convert to fraction form
    230,874.39/346,524.47 = 117,102.05/x
  3. Step 3: Cross multiply
    230,874.39x = 346,524.47 × 117,102.05
  4. Step 4: Simplify right side
    230,874.39x = 40,578,723,494.03
  5. Step 5: Solve for x
    x = 40,578,723,494.03/230,874.39
  6. Step 6: Final answer
    x = 175,761.04

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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.