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Finding the Fourth Proportional to 234,175.84, 351,264 and 109,604.32

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Solution

The fourth proportional to 234,175.84, 351,264 and 109,604.32 is: 164,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,175.84 : 351,264 = 109,604.32 : x
  2. Step 2: Convert to fraction form
    234,175.84/351,264 = 109,604.32/x
  3. Step 3: Cross multiply
    234,175.84x = 351,264 × 109,604.32
  4. Step 4: Simplify right side
    234,175.84x = 38,500,051,860.48
  5. Step 5: Solve for x
    x = 38,500,051,860.48/234,175.84
  6. Step 6: Final answer
    x = 164,406.59

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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.