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Finding the Fourth Proportional to 214,098.96, 295,290.24 and 146,170.68

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Solution

The fourth proportional to 214,098.96, 295,290.24 and 146,170.68 is: 201,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,098.96 : 295,290.24 = 146,170.68 : x
  2. Step 2: Convert to fraction form
    214,098.96/295,290.24 = 146,170.68/x
  3. Step 3: Cross multiply
    214,098.96x = 295,290.24 × 146,170.68
  4. Step 4: Simplify right side
    214,098.96x = 43,162,775,178.16
  5. Step 5: Solve for x
    x = 43,162,775,178.16/214,098.96
  6. Step 6: Final answer
    x = 201,601.98

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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.