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Finding the Fourth Proportional to 214,401.64, 295,838.82 and 118,893.16

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Solution

The fourth proportional to 214,401.64, 295,838.82 and 118,893.16 is: 164,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,401.64 : 295,838.82 = 118,893.16 : x
  2. Step 2: Convert to fraction form
    214,401.64/295,838.82 = 118,893.16/x
  3. Step 3: Cross multiply
    214,401.64x = 295,838.82 × 118,893.16
  4. Step 4: Simplify right side
    214,401.64x = 35,173,212,160.47
  5. Step 5: Solve for x
    x = 35,173,212,160.47/214,401.64
  6. Step 6: Final answer
    x = 164,052.91

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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.