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Finding the Fourth Proportional to 214,400.88, 295,852.26 and 118,905.48

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Solution

The fourth proportional to 214,400.88, 295,852.26 and 118,905.48 is: 164,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,400.88 : 295,852.26 = 118,905.48 : x
  2. Step 2: Convert to fraction form
    214,400.88/295,852.26 = 118,905.48/x
  3. Step 3: Cross multiply
    214,400.88x = 295,852.26 × 118,905.48
  4. Step 4: Simplify right side
    214,400.88x = 35,178,454,984.38
  5. Step 5: Solve for x
    x = 35,178,454,984.38/214,400.88
  6. Step 6: Final answer
    x = 164,077.94

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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.