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Finding the Fourth Proportional to 214,799.38, 296,423.16 and 119,314.96

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Solution

The fourth proportional to 214,799.38, 296,423.16 and 119,314.96 is: 164,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,799.38 : 296,423.16 = 119,314.96 : x
  2. Step 2: Convert to fraction form
    214,799.38/296,423.16 = 119,314.96/x
  3. Step 3: Cross multiply
    214,799.38x = 296,423.16 × 119,314.96
  4. Step 4: Simplify right side
    214,799.38x = 35,367,717,478.47
  5. Step 5: Solve for x
    x = 35,367,717,478.47/214,799.38
  6. Step 6: Final answer
    x = 164,654.65

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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.