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Finding the Fourth Proportional to 214,384.50, 295,850.70 and 118,905.84

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Solution

The fourth proportional to 214,384.50, 295,850.70 and 118,905.84 is: 164,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,384.50 : 295,850.70 = 118,905.84 : x
  2. Step 2: Convert to fraction form
    214,384.50/295,850.70 = 118,905.84/x
  3. Step 3: Cross multiply
    214,384.50x = 295,850.70 × 118,905.84
  4. Step 4: Simplify right side
    214,384.50x = 35,178,375,998.09
  5. Step 5: Solve for x
    x = 35,178,375,998.09/214,384.50
  6. Step 6: Final answer
    x = 164,090.11

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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.