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Finding the Fourth Proportional to 214,960.30, 296,644.08 and 119,475.88

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Solution

The fourth proportional to 214,960.30, 296,644.08 and 119,475.88 is: 164,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,960.30 : 296,644.08 = 119,475.88 : x
  2. Step 2: Convert to fraction form
    214,960.30/296,644.08 = 119,475.88/x
  3. Step 3: Cross multiply
    214,960.30x = 296,644.08 × 119,475.88
  4. Step 4: Simplify right side
    214,960.30x = 35,441,812,504.79
  5. Step 5: Solve for x
    x = 35,441,812,504.79/214,960.30
  6. Step 6: Final answer
    x = 164,876.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.