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Finding the Fourth Proportional to 214,437.30, 295,799.67 and 133,724.70

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Solution

The fourth proportional to 214,437.30, 295,799.67 and 133,724.70 is: 184,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,437.30 : 295,799.67 = 133,724.70 : x
  2. Step 2: Convert to fraction form
    214,437.30/295,799.67 = 133,724.70/x
  3. Step 3: Cross multiply
    214,437.30x = 295,799.67 × 133,724.70
  4. Step 4: Simplify right side
    214,437.30x = 39,555,722,130.85
  5. Step 5: Solve for x
    x = 39,555,722,130.85/214,437.30
  6. Step 6: Final answer
    x = 184,462.88

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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.