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Finding the Fourth Proportional to 214,206.74, 295,600.24 and 118,711.38

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Solution

The fourth proportional to 214,206.74, 295,600.24 and 118,711.38 is: 163,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,206.74 : 295,600.24 = 118,711.38 : x
  2. Step 2: Convert to fraction form
    214,206.74/295,600.24 = 118,711.38/x
  3. Step 3: Cross multiply
    214,206.74x = 295,600.24 × 118,711.38
  4. Step 4: Simplify right side
    214,206.74x = 35,091,112,418.73
  5. Step 5: Solve for x
    x = 35,091,112,418.73/214,206.74
  6. Step 6: Final answer
    x = 163,818.90

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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.