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Finding the Fourth Proportional to 214,204.68, 295,595.46 and 129,306.96

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Solution

The fourth proportional to 214,204.68, 295,595.46 and 129,306.96 is: 178,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,204.68 : 295,595.46 = 129,306.96 : x
  2. Step 2: Convert to fraction form
    214,204.68/295,595.46 = 129,306.96/x
  3. Step 3: Cross multiply
    214,204.68x = 295,595.46 × 129,306.96
  4. Step 4: Simplify right side
    214,204.68x = 38,222,550,322.40
  5. Step 5: Solve for x
    x = 38,222,550,322.40/214,204.68
  6. Step 6: Final answer
    x = 178,439.38

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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.