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Finding the Fourth Proportional to 230,965.20, 346,156.20 and 112,381.20

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Solution

The fourth proportional to 230,965.20, 346,156.20 and 112,381.20 is: 168,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,965.20 : 346,156.20 = 112,381.20 : x
  2. Step 2: Convert to fraction form
    230,965.20/346,156.20 = 112,381.20/x
  3. Step 3: Cross multiply
    230,965.20x = 346,156.20 × 112,381.20
  4. Step 4: Simplify right side
    230,965.20x = 38,901,449,143.44
  5. Step 5: Solve for x
    x = 38,901,449,143.44/230,965.20
  6. Step 6: Final answer
    x = 168,429.92

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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.