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Finding the Fourth Proportional to 232,956.25, 349,185.12 and 120,523.21

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Solution

The fourth proportional to 232,956.25, 349,185.12 and 120,523.21 is: 180,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,956.25 : 349,185.12 = 120,523.21 : x
  2. Step 2: Convert to fraction form
    232,956.25/349,185.12 = 120,523.21/x
  3. Step 3: Cross multiply
    232,956.25x = 349,185.12 × 120,523.21
  4. Step 4: Simplify right side
    232,956.25x = 42,084,911,546.64
  5. Step 5: Solve for x
    x = 42,084,911,546.64/232,956.25
  6. Step 6: Final answer
    x = 180,655.86

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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.