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Finding the Fourth Proportional to 214,589.66, 296,188.14 and 146,634.10

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Solution

The fourth proportional to 214,589.66, 296,188.14 and 146,634.10 is: 202,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,589.66 : 296,188.14 = 146,634.10 : x
  2. Step 2: Convert to fraction form
    214,589.66/296,188.14 = 146,634.10/x
  3. Step 3: Cross multiply
    214,589.66x = 296,188.14 × 146,634.10
  4. Step 4: Simplify right side
    214,589.66x = 43,431,281,148.98
  5. Step 5: Solve for x
    x = 43,431,281,148.98/214,589.66
  6. Step 6: Final answer
    x = 202,392.24

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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.