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Finding the Fourth Proportional to 214,910.64, 296,579.64 and 119,415.60

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Solution

The fourth proportional to 214,910.64, 296,579.64 and 119,415.60 is: 164,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,910.64 : 296,579.64 = 119,415.60 : x
  2. Step 2: Convert to fraction form
    214,910.64/296,579.64 = 119,415.60/x
  3. Step 3: Cross multiply
    214,910.64x = 296,579.64 × 119,415.60
  4. Step 4: Simplify right side
    214,910.64x = 35,416,235,658.38
  5. Step 5: Solve for x
    x = 35,416,235,658.38/214,910.64
  6. Step 6: Final answer
    x = 164,795.17

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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.