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Finding the Fourth Proportional to 214,536.89, 296,115.30 and 146,581.31

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Solution

The fourth proportional to 214,536.89, 296,115.30 and 146,581.31 is: 202,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,536.89 : 296,115.30 = 146,581.31 : x
  2. Step 2: Convert to fraction form
    214,536.89/296,115.30 = 146,581.31/x
  3. Step 3: Cross multiply
    214,536.89x = 296,115.30 × 146,581.31
  4. Step 4: Simplify right side
    214,536.89x = 43,404,968,585.04
  5. Step 5: Solve for x
    x = 43,404,968,585.04/214,536.89
  6. Step 6: Final answer
    x = 202,319.37

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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.