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Finding the Fourth Proportional to 234,284.34, 351,062.76 and 163,351.80

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Solution

The fourth proportional to 234,284.34, 351,062.76 and 163,351.80 is: 244,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,284.34 : 351,062.76 = 163,351.80 : x
  2. Step 2: Convert to fraction form
    234,284.34/351,062.76 = 163,351.80/x
  3. Step 3: Cross multiply
    234,284.34x = 351,062.76 × 163,351.80
  4. Step 4: Simplify right side
    234,284.34x = 57,346,733,758.97
  5. Step 5: Solve for x
    x = 57,346,733,758.97/234,284.34
  6. Step 6: Final answer
    x = 244,774.08

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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.