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Finding the Fourth Proportional to 234,653.64, 323,819.01 and 127,223.34

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Solution

The fourth proportional to 234,653.64, 323,819.01 and 127,223.34 is: 175,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,653.64 : 323,819.01 = 127,223.34 : x
  2. Step 2: Convert to fraction form
    234,653.64/323,819.01 = 127,223.34/x
  3. Step 3: Cross multiply
    234,653.64x = 323,819.01 × 127,223.34
  4. Step 4: Simplify right side
    234,653.64x = 41,197,336,007.69
  5. Step 5: Solve for x
    x = 41,197,336,007.69/234,653.64
  6. Step 6: Final answer
    x = 175,566.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.