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Finding the Fourth Proportional to 214,270.58, 295,687.41 and 129,356.66

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Solution

The fourth proportional to 214,270.58, 295,687.41 and 129,356.66 is: 178,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,270.58 : 295,687.41 = 129,356.66 : x
  2. Step 2: Convert to fraction form
    214,270.58/295,687.41 = 129,356.66/x
  3. Step 3: Cross multiply
    214,270.58x = 295,687.41 × 129,356.66
  4. Step 4: Simplify right side
    214,270.58x = 38,249,135,761.65
  5. Step 5: Solve for x
    x = 38,249,135,761.65/214,270.58
  6. Step 6: Final answer
    x = 178,508.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.