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Finding the Fourth Proportional to 214,365.64, 295,822.86 and 118,872.64

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Solution

The fourth proportional to 214,365.64, 295,822.86 and 118,872.64 is: 164,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,365.64 : 295,822.86 = 118,872.64 : x
  2. Step 2: Convert to fraction form
    214,365.64/295,822.86 = 118,872.64/x
  3. Step 3: Cross multiply
    214,365.64x = 295,822.86 × 118,872.64
  4. Step 4: Simplify right side
    214,365.64x = 35,165,244,340.55
  5. Step 5: Solve for x
    x = 35,165,244,340.55/214,365.64
  6. Step 6: Final answer
    x = 164,043.29

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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.