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Finding the Fourth Proportional to 214,600.36, 296,203.02 and 146,644.84

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Solution

The fourth proportional to 214,600.36, 296,203.02 and 146,644.84 is: 202,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,600.36 : 296,203.02 = 146,644.84 : x
  2. Step 2: Convert to fraction form
    214,600.36/296,203.02 = 146,644.84/x
  3. Step 3: Cross multiply
    214,600.36x = 296,203.02 × 146,644.84
  4. Step 4: Simplify right side
    214,600.36x = 43,436,644,475.42
  5. Step 5: Solve for x
    x = 43,436,644,475.42/214,600.36
  6. Step 6: Final answer
    x = 202,407.14

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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.