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Finding the Fourth Proportional to 214,142.59, 295,516.92 and 118,650.88

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Solution

The fourth proportional to 214,142.59, 295,516.92 and 118,650.88 is: 163,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,142.59 : 295,516.92 = 118,650.88 : x
  2. Step 2: Convert to fraction form
    214,142.59/295,516.92 = 118,650.88/x
  3. Step 3: Cross multiply
    214,142.59x = 295,516.92 × 118,650.88
  4. Step 4: Simplify right side
    214,142.59x = 35,063,342,612.89
  5. Step 5: Solve for x
    x = 35,063,342,612.89/214,142.59
  6. Step 6: Final answer
    x = 163,738.30

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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.