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Finding the Fourth Proportional to 214,953.30, 296,634.42 and 119,468.88

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Solution

The fourth proportional to 214,953.30, 296,634.42 and 119,468.88 is: 164,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,953.30 : 296,634.42 = 119,468.88 : x
  2. Step 2: Convert to fraction form
    214,953.30/296,634.42 = 119,468.88/x
  3. Step 3: Cross multiply
    214,953.30x = 296,634.42 × 119,468.88
  4. Step 4: Simplify right side
    214,953.30x = 35,438,581,926.85
  5. Step 5: Solve for x
    x = 35,438,581,926.85/214,953.30
  6. Step 6: Final answer
    x = 164,866.42

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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.