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Finding the Fourth Proportional to 214,390.92, 295,852 and 118,906.50

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Solution

The fourth proportional to 214,390.92, 295,852 and 118,906.50 is: 164,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,390.92 : 295,852 = 118,906.50 : x
  2. Step 2: Convert to fraction form
    214,390.92/295,852 = 118,906.50/x
  3. Step 3: Cross multiply
    214,390.92x = 295,852 × 118,906.50
  4. Step 4: Simplify right side
    214,390.92x = 35,178,725,838
  5. Step 5: Solve for x
    x = 35,178,725,838/214,390.92
  6. Step 6: Final answer
    x = 164,086.83

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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.