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Finding the Fourth Proportional to 214,806.52, 296,427.36 and 119,310.76

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Solution

The fourth proportional to 214,806.52, 296,427.36 and 119,310.76 is: 164,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,806.52 : 296,427.36 = 119,310.76 : x
  2. Step 2: Convert to fraction form
    214,806.52/296,427.36 = 119,310.76/x
  3. Step 3: Cross multiply
    214,806.52x = 296,427.36 × 119,310.76
  4. Step 4: Simplify right side
    214,806.52x = 35,366,973,606.39
  5. Step 5: Solve for x
    x = 35,366,973,606.39/214,806.52
  6. Step 6: Final answer
    x = 164,645.72

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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.