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Finding the Fourth Proportional to 214,093.80, 295,451.82 and 118,601.82

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Solution

The fourth proportional to 214,093.80, 295,451.82 and 118,601.82 is: 163,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,093.80 : 295,451.82 = 118,601.82 : x
  2. Step 2: Convert to fraction form
    214,093.80/295,451.82 = 118,601.82/x
  3. Step 3: Cross multiply
    214,093.80x = 295,451.82 × 118,601.82
  4. Step 4: Simplify right side
    214,093.80x = 35,041,123,574.31
  5. Step 5: Solve for x
    x = 35,041,123,574.31/214,093.80
  6. Step 6: Final answer
    x = 163,671.83

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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.