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Finding the Fourth Proportional to 234,179.84, 351,270 and 109,608.32

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Solution

The fourth proportional to 234,179.84, 351,270 and 109,608.32 is: 164,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,179.84 : 351,270 = 109,608.32 : x
  2. Step 2: Convert to fraction form
    234,179.84/351,270 = 109,608.32/x
  3. Step 3: Cross multiply
    234,179.84x = 351,270 × 109,608.32
  4. Step 4: Simplify right side
    234,179.84x = 38,502,114,566.40
  5. Step 5: Solve for x
    x = 38,502,114,566.40/234,179.84
  6. Step 6: Final answer
    x = 164,412.59

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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.