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Finding the Fourth Proportional to 214,792.88, 296,414.19 and 119,308.46

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Solution

The fourth proportional to 214,792.88, 296,414.19 and 119,308.46 is: 164,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,792.88 : 296,414.19 = 119,308.46 : x
  2. Step 2: Convert to fraction form
    214,792.88/296,414.19 = 119,308.46/x
  3. Step 3: Cross multiply
    214,792.88x = 296,414.19 × 119,308.46
  4. Step 4: Simplify right side
    214,792.88x = 35,364,719,048.98
  5. Step 5: Solve for x
    x = 35,364,719,048.98/214,792.88
  6. Step 6: Final answer
    x = 164,645.68

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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.